anonymous
  • anonymous
Show all Work 1. Solve: y^2 + 7x = 30 2. Solve: x^2 + 7 = -8x 3. Solve: x^2 – 26x + 48 = 0 4. Solve: x^2 - 4x = 32 5. Solve: w(6w + 12) = 0 6. Solve: y^2 + y = 30 7. Solve: (a – 5)(a + 3) = 0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
How to solve them? Is there any method?
anonymous
  • anonymous
Solving Quadratic Equation
anonymous
  • anonymous
Ohh okay :) so do you know what's the formula for quadratic equation?

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anonymous
  • anonymous
no
anonymous
  • anonymous
LOL okay I'll tell you :) Well listen we have 3 methods of solving quadratic equation
anonymous
  • anonymous
They're all trivially factorable... I'll do the first one as an example:$$x^2+7x=30\\x^2+7x-30=0\\x^2+10x-3x-30=0\\x(x+1)-3(x+10)=0\\(x-3)(x+10)=0$$Do you know what either \(x-3,x+10\) have to be for their product to be \(0\)? One of them must also then be \(0\) so solve for both cases:$$x-3=0\quad\implies\quad x=3\\x+10=0\quad\implies\quad x=-10$$
anonymous
  • anonymous
I would not advise teaching him the quadratic formula at this point because these are all solved easily by factoring :-p
anonymous
  • anonymous
Umm yeahh but the easiest method is by solving quadratic formula :) Well it's his choice :)
anonymous
  • anonymous
First find the delta: \[\delta = b ^ 2 - 4 * a * c\] After that do to find x' and x'': \[X = -b \pm \sqrt{\delta} \]
anonymous
  • anonymous
i have no idea of what the equation is
anonymous
  • anonymous
Solve: x^2 + 7 = -8x x^2+8x+7=0 x^2+1x+7x+7x=0 x(x+1)+7(x+1)=0 (x+1)(x+7)=0 x+1=0 so here x=-1 x+7= so here x=-7
anonymous
  • anonymous
Umm okay. @AnimalSadqi listen can you understand now we are solving these equations?
anonymous
  • anonymous
I really would not say it's his choice because in actuality it's his teacher's choice. The problem set strongly suggests he has not learned the quadratic formula yet and instead all lend themselves to factoring (some of them almost *directly*).
anonymous
  • anonymous
Umm yeahh
anonymous
  • anonymous
i just need help please!
anonymous
  • anonymous
Okay sure ask what you want to ask?
anonymous
  • anonymous
i need help with these questions
anonymous
  • anonymous
@AnimalSadqi we are solving these equations by breaking the middle term got it?
anonymous
  • anonymous
ok
anonymous
  • anonymous
Suree I'll explain you don't worry :) Just tell me do you know how to break the middle term?
anonymous
  • anonymous
no
anonymous
  • anonymous
Okay I'll show you
anonymous
  • anonymous
See breaking the middle term means that the middle term of the equation like for example we have this equation x^2+8x+7=0 in this equation the middle term is 8x so here we have to break this term(breaking them in such a way that the numbers we are numbers we are taking should plus and make 8x and we multiply both the term they should make 7 Got what I said?
anonymous
  • anonymous
i think
anonymous
  • anonymous
|dw:1371159280042:dw| See this drawing and I hope you'll understand :) See here 1+7 makes 8 when we add them but when we multiply them they make 7 Got it?
anonymous
  • anonymous
?
anonymous
  • anonymous
yeah
anonymous
  • anonymous
so number 3 x=-1.84
anonymous
  • anonymous
number 3)*
anonymous
  • anonymous
what what what? :/
anonymous
  • anonymous
What number 3?
anonymous
  • anonymous
3. Solve: x^2 – 26x + 48 = 0
anonymous
  • anonymous
Ohh okay okay wait na. Now you try and solve :) and show me what you don't understand I'll guide you :)
anonymous
  • anonymous
i go x= -1.84
anonymous
  • anonymous
It cant be i guess wait let me solve. Just give me 2 minutes :)
anonymous
  • anonymous
k
anonymous
  • anonymous
Show me how you broke the middle term?
anonymous
  • anonymous
?
anonymous
  • anonymous
3. Solve: x^2 – 26x + 48 = 0 48/-26=-1.84
anonymous
  • anonymous
What did you do? :o I explained you something else :o
anonymous
  • anonymous
arrrrrrrggggggggggggggggggggghhhhhhhhhhhhhhhhhhhhhh this is confusing and hard
anonymous
  • anonymous
See the drawing and then break the middle term how i told you to do :/
anonymous
  • anonymous
LOL yeah it is but I'm explaining you start with any some equation umm take question number 2 and solve it yourself
anonymous
  • anonymous
Listen listen learn quadratic formula and solve these question. It is one of the easiest method :)
anonymous
  • anonymous
so 3. Solve: x^2 – 26x + 48 = 0 |dw:1371160318651:dw|
anonymous
  • anonymous
Yeahh now your right :) finallyyyyyyyyyyyyyyyy xD
anonymous
  • anonymous
so x=?
anonymous
  • anonymous
now take common like this |dw:1371160598890:dw| Got it? xD
anonymous
  • anonymous
x=2
anonymous
  • anonymous
Umm yes but you got half answer
anonymous
  • anonymous
and x=-2
anonymous
  • anonymous
See we will split the equation now into 2 x-24=0 and x-2 So, x-24=0 x=0+24 x=24 and x-2=0 x=0+2 x=2 So, 2 and 24 is the answer Got it?
anonymous
  • anonymous
now the others please help me with them
anonymous
  • anonymous
Okay suree start with the next equation
anonymous
  • anonymous
1. Solve: y^2 + 7x = 30 4. Solve: x^2 - 4x = 32 5. Solve: w(6w + 12) = 0 6. Solve: y^2 + y = 30
anonymous
  • anonymous
Your question is wrong it will be x^2 + 7x = 30(not y^2) x^2+7x-30=0 x^2+10x-3x-30=0 Now take common |dw:1371161177264:dw| now split them into 2 parts solve and them show me please :)
anonymous
  • anonymous
x=-10 and x=10
anonymous
  • anonymous
Question #4: x^2 - 4x = 32 x^2-4x-32=0 x^2-8x+4x=0 Now take common |dw:1371161388550:dw| Now split them into 2 parts and solve
anonymous
  • anonymous
Noooooooooooooooooooooooooooooo your half answer is correct and half is wrong :( x=-10 is correct
anonymous
  • anonymous
x=8 and x=24
anonymous
  • anonymous
How did you get 24? :o
anonymous
  • anonymous
my bad x=32
anonymous
  • anonymous
Seeeeee now listen pleaseeeeeeeeeee :/ We have to split them into parts like this |dw:1371161699362:dw| Now solveeeeeeeeeeeeeeeeeee
anonymous
  • anonymous
x=8 and x=-4
anonymous
  • anonymous
yes good :)
anonymous
  • anonymous
Check question number 5 is guess its wrong :(
anonymous
  • anonymous
that's what's written
anonymous
  • anonymous
6. Solve: y^2 + y = 30 y^2+y-30=0 y^2-5y+6y-30=0 Now take common |dw:1371162008549:dw| Now split them into 2 and solve and show please :)
anonymous
  • anonymous
y=5 and y=-6
anonymous
  • anonymous
This thread is going too long,i can't see the question and solve it at same time,Close this thread and make a new one with the question,Thanks :)
anonymous
  • anonymous
Yes you are right :)
anonymous
  • anonymous
yes!!!!!!!!!!!!!!!!!!!
anonymous
  • anonymous
Tag me in the question when you make a new one. Thanks :)
anonymous
  • anonymous
that was the last one thanks
anonymous
  • anonymous
No you have one question left xP LOL
anonymous
  • anonymous
(a-5)(a+3)=0 a^2+3a-5a-15=0 Here in this question we don't have to break the middle term just have to take the common and solve |dw:1371162444007:dw| Now split them into 2 parts and solve :)

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