Question

8 times the square of a nonzero number is equal to 96 times the number.

What is the number?
A) 12
B) 24
C) 96
D) 4

@jdoe0001

Answer 1

I believe it's 12, correct?

Answer 2

12? hmm have you covered simplifying linear equations yet?

Answer 3

Well if you plug it into the equation that it gives us,

"8 * n^2 = 96(n)" if you replace n with 12, and do

8 * (12)^2 then that equals 1,152
So does 96(12) = 1,152.. So that's how I predicted the answer is 12.

Answer 4

well... close , you want to "isolate" the "x" on the left-side
you'd divide both sides by 8
then you take square root to both sides

Answer 5

Oh okay.

Answer 6

\(\bf 8\cdot x^2=96\implies x^2=\cfrac{96}{8}\implies x^2=12\\ \quad \\
\textit{taking }\sqrt{\qquad } \textit{ root to both sides}\\ \quad \\
\sqrt{x^2}=\sqrt{12}\implies x=\sqrt{12}\qquad {\color{blue}{ 12\implies 2\cdot 2\cdot 3\implies 2^2\cdot 3}}\\ \quad \\
x=\sqrt{12}\implies x=\sqrt{2^2\cdot 3}\implies x=\sqrt[{\color{red}{ 2}}]{2^{\color{red}{ 2}}\cdot 3}\implies x=2\sqrt{3}\)

Answer 7

So the answer is 12 right?

Answer 8

the nonzero number above would be "x"

Answer 9

hhmmm wait is not one of your choices... so maybe is not asking for that

Answer 10

That's why I said the answer IS 12, CORRECT?

Answer 11

Yup it was 12, thanks.

Answer 12

... I see... I missed one variable... but, yes is 12