The difference between the square of a number and the square of its half is 432. What is the number?
Show answer & explanation
Correct answer: B
Explanation
Number = x
According to the formula:
x² − (x/2)² = 432
x² − x²/4 = 432
(4x² − x²) / 4 = 432
3x² / 4 = 432
3x² = 1728
x² = 576
x = 24