Question

Solve 3x2 = -30x + 24
PLEASE HELP ME! I didn't get the answer that's in the answer choices! these are the answer choices:
quantity of negative 10 plus or minus square root of 33 all over 2
negative 5 plus or minus 2 square root of 33
negative 10 plus or minus square root of 33
negative 5 plus or minus square root of 33
and I got: -30-+sqr-1188/6

Answer 1

\[3x^2 = -30x + 24\]
\[3x^2+30x-24=0\] divide by 3 and get
\[x^2+10x-8=0\]

Answer 2

whaaaaat....?

Answer 3

if you want to use the quadratic formula, set it equal to zero and solve

Answer 4

I did, and I got the equation on top but I don't know what it is.

Answer 5

if you start with \[3x^2 = -30x + 24\] then add \(30x\) and subtract \(24\) to get
\[3x^2+30x-24=0\]

Answer 6

then divide all by 3 because you don't need all those common factors

Answer 7

\[x^2+10x-8=0\] makes the quadratic formula a lot easier to use

Answer 8

okay then we get x^2+10x-8=0?

Answer 9

yes

Answer 10

now i solved and got -10-+sqr68/2

Answer 11

in fact since \(10\) is even, it is a lot easier to complete the square than to use the quadratic formula

Answer 12

\[x^2+10x=8\]
\[(x+5)^2=8+25=33\]
\[x+5=\pm\sqrt{33}\] and so
\[x=-5\pm\sqrt{33}\]

Answer 13

im lost..how did you get the second one?

Answer 14

HELP!