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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

- anonymous

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- anonymous

How to solve them? Is there any method?

- anonymous

Solving Quadratic Equation

- anonymous

Ohh okay :) so do you know what's the formula for quadratic equation?

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## More answers

- anonymous

no

- anonymous

LOL okay I'll tell you :)
Well listen we have 3 methods of solving quadratic equation

- 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

I would not advise teaching him the quadratic formula at this point because these are all solved easily by factoring :-p

- anonymous

Umm yeahh but the easiest method is by solving quadratic formula :) Well it's his choice :)

- 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

i have no idea of what the equation is

- 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

Umm okay. @AnimalSadqi listen can you understand now we are solving these equations?

- 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

Umm yeahh

- anonymous

i just need help please!

- anonymous

Okay sure ask what you want to ask?

- anonymous

i need help with these questions

- anonymous

@AnimalSadqi we are solving these equations by breaking the middle term got it?

- anonymous

ok

- anonymous

Suree I'll explain you don't worry :)
Just tell me do you know how to break the middle term?

- anonymous

no

- anonymous

Okay I'll show you

- 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

i think

- 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

yeah

- anonymous

so number 3 x=-1.84

- anonymous

number 3)*

- anonymous

what what what? :/

- anonymous

What number 3?

- anonymous

3. Solve: x^2 – 26x + 48 = 0

- anonymous

Ohh okay okay wait na. Now you try and solve :) and show me what you don't understand I'll guide you :)

- anonymous

i go x= -1.84

- anonymous

It cant be i guess wait let me solve. Just give me 2 minutes :)

- anonymous

k

- anonymous

Show me how you broke the middle term?

- anonymous

?

- anonymous

3. Solve: x^2 – 26x + 48 = 0
48/-26=-1.84

- anonymous

What did you do? :o
I explained you something else :o

- anonymous

arrrrrrrggggggggggggggggggggghhhhhhhhhhhhhhhhhhhhhh this is confusing and hard

- anonymous

See the drawing and then break the middle term how i told you to do :/

- 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

Listen listen learn quadratic formula and solve these question. It is one of the easiest method :)

- anonymous

so 3. Solve: x^2 – 26x + 48 = 0
|dw:1371160318651:dw|

- anonymous

Yeahh now your right :) finallyyyyyyyyyyyyyyyy xD

- anonymous

so x=?

- anonymous

now take common like this
|dw:1371160598890:dw|
Got it? xD

- anonymous

x=2

- anonymous

Umm yes but you got half answer

- anonymous

and x=-2

- 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

now the others please help me with them

- anonymous

Okay suree start with the next equation

- 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

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

x=-10 and x=10

- 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

Noooooooooooooooooooooooooooooo your half answer is correct and half is wrong :(
x=-10 is correct

- anonymous

x=8 and x=24

- anonymous

How did you get 24? :o

- anonymous

my bad x=32

- anonymous

Seeeeee now listen pleaseeeeeeeeeee :/
We have to split them into parts like this
|dw:1371161699362:dw|
Now solveeeeeeeeeeeeeeeeeee

- anonymous

x=8 and x=-4

- anonymous

yes good :)

- anonymous

Check question number 5 is guess its wrong :(

- anonymous

that's what's written

- 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

y=5 and y=-6

- 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

Yes you are right :)

- anonymous

yes!!!!!!!!!!!!!!!!!!!

- anonymous

Tag me in the question when you make a new one. Thanks :)

- anonymous

that was the last one thanks

- anonymous

No you have one question left xP LOL

- 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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