Question

Solve for x.
7x^2-2x+2=5x^2+x

Answer 1

I believe you would use the quadratic formula but, I'm not quite sure what to do with the five.

Answer 2

collect like terms, then use quadratic formula

Answer 3

Okay. So, I put it all on the right and then, simplified. I got 12x^2-1x+2=0

Answer 4

are you sure it's 12x^2

Answer 5

are you sure it's -1x?

Answer 6

Okay. I'm not sure to be honest. Instead, would 2x^2-3x+2=0 make more sense? I think so.

Answer 7

I wasn't sure whether to subtract the 5x^2 and 'x' or to just add it onto the right.

Answer 8

From here may I use the quadratic formula?

Answer 9

yes, when you pull values from one side to the other, you have to change the sign like 1+1 =2 if you pull the 1 over 1=2+1 does not make sense . 1=2-1

Answer 10

yes you can use the quadratic equation here if you would like

Answer 11

Oh okay. :D

Answer 12

7x^2-2x+2=5x^2+x
Add -5x^2 to both sides:
2x^2 - 2x + 2 = x
Add -x to both sides:
2x^2 - 3x + 2 = 0
The discriminant is: b^2 - 4ac = (-3)^2 - 4(2)(2) = 9 - 16 = -7.
Since the discriminant is negative, the roots will be complex.
plug it into the quadratic formula.

Answer 13

I got it! :D Thank you babalooo and aum!

Answer 14

you are welcome.

Answer 15

Discriminant = -7
Square root of discriminant = \(\sqrt{7}i\)

\(\Large x = \frac{-b \pm \sqrt{discriminant}}{2a} =
\frac{3 \pm \sqrt{7}i}{4}\)