Set up an equation and solve the problem. 12 times the square of a number equals 588. Find the number.
A) $-$ 49 or 49
B) $-$ 8 or 8
C) $-$ 7 or 7
D) 0
E) none of these

Question

Quizplus · Accepted Answer

Let's call the number we're trying to find "x". We can set up the equation like this:

12x^2 = 588

To solve for x, we'll first divide both sides by 12:

x^2 = 49

Now we'll take the square root of both sides (remembering that a square root can be positive or negative):

x = ±7

So the possible values for the number we're looking for are -7 or 7, which matches answer choice C.

Set Up an Equation and Solve the Problem −-− 49 or 49 B)

Set Up an Equation and Solve the Problem $-$ 49 or 49
B)