solve for r
r^2+3r=8
Example r^2+3r=1
r=-3+√13/2,-3-√13/2

- anonymous

solve for r
r^2+3r=8
Example r^2+3r=1
r=-3+√13/2,-3-√13/2

- katieb

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- anonymous

looks like the quadratic equation might help here

- anonymous

r^2 +3r -8 =0
a=1
b=3
c=-8
Use the quadratic formula to get your answer(s) for x.

- anonymous

The quadratic equation is where my problem lies

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## More answers

- anonymous

Do you know what the quadratic formula is?

- anonymous

http://0.tqn.com/d/create/1/0/i/9/9/-/Quadratic.formula.jpg

- anonymous

((-1) +/- sqrt ((3)^2-(4)(1)(-8)))/((2)(1))

- anonymous

(-1 +/- sqrt (41))/2
***THAT MEANS***
x = (-1 + sqrt(41))/2
x = (-1 - sqrt(41))/2

- anonymous

Thanks so much

- anonymous

This is what you do whenever factoring is impossible.

- anonymous

Or if you're too lazy to factor :-)... like I usually am LOL

- anonymous

so how would i put x^2+7x=10 into the quadratic equation

- anonymous

Okay so your format is going to be ax^2+bx+c
So with x^2+7x=10, you always always always get everything on the left side. You're setting it equal to zero.
x^2+7x-10=0
Now what are a, b, and c?

- anonymous

sorry typed problem wrong x^2+7x-10=0

- anonymous

k... so what do you think a, b, and c are?

- anonymous

a is 1
b is 7
c is 10

- anonymous

Yup!

- anonymous

I'll ask you one now. -x^2+2x+3
What is "a" in this case?

- anonymous

-1

- anonymous

yep

- anonymous

my problem is keeping it all in order

- anonymous

Now if there's a term, say b=-2 and you need to plug it into your formula, the first thing you're putting in is -b. So how to do that:
-(-2). So that will be a +2.

- anonymous

I understand. And I would recommend to do the problem in as many steps as you need to. And to slow down and pay close attention. I took an engineering problems course last quarter and I made a lot of mistakes when I didn't pay attention :-)

- anonymous

You can try that problem and we'll compare answers if you want.

- anonymous

ok is it -7+√89/2,-7-√89/2

- anonymous

That's what I got too. You know what you're doing!

- anonymous

You have no idea how much you have helped me thanks again!!!!!

- anonymous

I'm glad :-)
So step 1: Get everything on the left side so that it's set equal to zero.
step 2: write down what your a, b, and c values are
step 3: plug in to the formula and go slow

- anonymous

I truly cannot thank you enough I have been struggling for days

- anonymous

I would recommend Paul's online notes as an alternative to your book. Most algebra books truly suck.
http://tutorial.math.lamar.edu/Classes/Alg/SolveQuadraticEqnsII.aspx

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