Solve the problem.
-The product of 4 and the square root of some number is equal to that number decreased by 32. Find the number.
A) 128
B) 48
C) 32
D) 64

Question

Quizplus · Accepted Answer

The equation can be written as $4\sqrt{x} = x - 32$. Squaring both sides gives $16x = x^2 - 64x + 1024$, which simplifies to $x^2 - 80x + 1024 = 0$. Factoring or using the quadratic formula, we find $x = 64$ as the solution that makes sense in the context of the problem.

Solve the Problem. -The Product of 4 and the Square Root of Some