Question

How do I solve this quadratic: x^2 + 6x = 24

Answer 1

Start by subtracting the 24. So that everything is on one side.

Answer 2

x^2 + 6x -24

Answer 3

We can use the quadratic formula. Maybe we can factor it too, but I'm not sure.

Answer 4

I tried figuring out the factors but it doesn't work. So the quadratic formula is the next solution.

Answer 5

okiez:
-6 +or- sqrt 6^2 - 4(1)(-24)
-------------------------
2
is that right?

Answer 6

Yes

Answer 7

okiez..

-6 +or- sqrt 36 + 96
------------------
2

-6 +or- sqrt 132
--------------
2

Answer 8

Correct.

Answer 9

so do i just right my answer as that since the sqrt of 132 is a decimal number?

Answer 10

You can since that is the simplest form.

Answer 11

cause they want me to simplify it or something

Answer 12

ooooo k

Answer 13

so is that it?

Answer 14

You can also write it as \[-3\pm \frac{ \sqrt{132} }{ 2 }\]

Answer 15

But is pretty much it.

Answer 16

THANKS SO MUCH!!!

Answer 17

:D No problem.