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some.random.cool.kid
 one year ago
Solve the equation 4x2 + 8x + 1 = 0 by completing the square.
some.random.cool.kid
 one year ago
Solve the equation 4x2 + 8x + 1 = 0 by completing the square.

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some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0@Hero @dan815 @iambatman

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0@phi @amistre64

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha mind helping :D

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0not to much this time...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0First, make the coefficient of the x^2 term 1 by dividing both sides by 4.

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0so 4 by which sides?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Divide all terms on both sides of the equation by 4.

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0the x^2 and the 8x by 4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Everything, yes. What will it look like?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0uh... well 8x would be 2x?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0and what about the ^2

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0is that 4^2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Divide 4x^2 by 4. What do you get?\[\frac{ 4x^2 }{ 4 } = ?\]

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0just x^2?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.01 divided by 4 is that 4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No. It's \(\frac{1}{4}\). What about the right hand side? Gotta do that too.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Good. So, dividing everything by 4 gives\[x^2 + 2x + \frac{ 1 }{ 4 } = 0\]OK so far?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now, we don't want the 1/4 on the left hand side, so subtract 1/4 from both sides. What will it look like then?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0uh  1/4?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0thats a negative

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK. What does the whole equation look like now?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0x^2 + 2x  1/4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not quite. What happened to the equals sign?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0idk is it x^2 + 2x  1/4 =0 or x^2 + 2x = 1/4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We better back up a step. You had\[x^2 + 2x + \frac{ 1 }{ 4 } = 0\]To get rid of the 1/4 on the left hand side, you need to subtract it. And the rules of equality say that whatever you do one side of the equation you have to do to the other side as well. So you have to subtract 1/4 from both sides. So\[x^2 + 2x + \frac{ 1 }{ 4 }  \frac{ 1 }{ 4 } = 0\frac{ 1 }{ 4 }\]Simplify both sides. What will it look like?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0wait but if you canceled the other 1/4ths and your left  1/4 then what is left i dont get it all i se is x^2 + 2x  1/4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This is not an equation. What happened to the equal sign. It can't just disappear.

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0you dont have one you used it when you crossed out the 1/4ths

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0thats how i was tought...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry, no. Equals signs don't disappear. What you are left with is\[x^2 + 2x = \frac{ 1 }{ 4 }\]Do you understand?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK. So now you're ready to complete the square on the left hand side. Do you remember how to do it?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0some more dividing? lawl

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not really :) Do you know how to complete the square?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0mm take half the sq on both sides?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Something like that. You need to add a number to the left hand side that will make it a perfect square trinomial. Look at the coefficient of the 'x' term. Take half of that coefficient and then square it. What number do you get?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0your left with x +2? after taking away one x from each of the sides?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No. What is the coefficient of the 'x' term on the left hand side?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0sorry idk that..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What number is multiplying x on the left hand side?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh my. The equation you're working with now is\[x^2 + 2x = \frac{ 1 }{ 4 }\]The 'x' term on the left hand side is \(2x\). The coefficient is the number that is multiplying the \(x\). What number is it?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0omg i said idk geez...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443484097406:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In \(2x\), the \(x\) is being multiplied by \(2\). The 2 is called the coefficient of x. Do you understand?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0that is a variable you cant multiply that :/

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0you have to simplify it...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sure you can. 2 times x is 2x. 14 times y is 14y. And so on.

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0x equals start fraction three plus or minus square root of six end square root over two end fraction x equals six plus or minus two square root of six end square root x equals start fraction negative two plus or minus square root of three end square root over two end fraction x equals start fraction four plus or minus three square root of six end square root over eight end fraction

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the coefficient of the 'x' term is 2. Now take half of the coefficient  half of 2 is 1. Now square that number. What is 1 squared?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0anyways those are what i have...

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0im thinking its bewtween those...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Very good. So you need to add 1 to both sides of the equation\[x^2 + 2x = \frac{ 1 }{ 4 }\]What will the equation look like?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0like this in the end... x equals start fraction four plus or minus three square root of six end square root over eight end fraction

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do you get that?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0out of these and based on your thing this was best choice. x equals start fraction three plus or minus square root of six end square root over two end fraction x equals six plus or minus two square root of six end square root x equals start fraction negative two plus or minus square root of three end square root over two end fraction x equals start fraction four plus or minus three square root of six end square root over eight end fraction

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If you would like my help in learning how to complete the square, I'll help you. But, if you're just going to copy someone else's work (which hasn't been reduced to lowest terms, by the way), then I'll move on. Good luck with your work.

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0this is my work lol

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0these were my answers and your answer werent near what i had...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You haven't completed the work required to arrive at an answer.

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0the way you were headed i figured i would paste my answers because it seemed like you were going in a different direction... as soon as you said i can multiply i knew it was off because in this course you do not multiply these it strictly says you dont multiply them its supposed to be simplified @ospreytriple

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0the variables i mean...
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