Set up an equation and solve the problem. 144 less than the square of a number equals zero. Find the number.
A) { $-$ 14, 14 }
B) { $-$ 144, 144 }
C) 0
D) { $-$ 12, 12 }
E) none of these

Question

Quizplus · Accepted Answer

Let x be the number.

Then the equation becomes:

$x^2 - 144 = 0$

Factoring the left side of the equation, we get:

$(x + 12)(x - 12) = 0$

Using the zero product property, we find:

$x + 12 = 0$ or $x - 12 = 0$

So,

$x = -12$ or $x = 12$

Therefore, the solution set is { $-$ 12, 12 }, which corresponds to answer choice D.

Set Up an Equation and Solve the Problem −-− 14, 14 } B)

Set Up an Equation and Solve the Problem $-$ 14, 14 }
B)