Question

Solve 3x^2 = -30x + 24.

A) quantity of negative 10 plus or minus square root of 33 all over 2
B) negative 5 plus or minus 2 square root of 33
C) negative 10 plus or minus square root of 33
D) negative 5 plus or minus square root of 33

Answer 1

You solve this by moving -3x^2 from both sides so you get an equation that looks like this

\[0=-3x^2 -30x+24\]

And then you use the quadratic formula to get the answer.

Do you know the quadratic formula?

Answer 2

yess

Answer 3

So what answers do you get when you use quadratic formula?

Answer 4

\[30\sqrt{612} \div -6\]

Answer 5

i dont think its right

Answer 6

You have the 30 and -6 part right, but the square root of 612, I don't think is correct.

When you apply the quadratic formula the inside of the square root should look like this

\[\sqrt{-30^2-4(-3)(24)}\]

When you calculate this through, you should get \[\sqrt{1188}\]

Answer 7

Oh yeah one more thing I didn't catch, it should be 30 (plus or minus) square root, not 30 times squareroot.

Answer 8

So it should look like this

\[(30(+ or -)\sqrt{1188})/-6\]

Answer 9

\[5\pm2\sqrt{33}\]

Answer 10

The correct answer is \[-5\pm \sqrt{33}\]

So to me that sounds like D, but I can't look at what the answers look like, but yeah that's it.