Question

The square of a number is 12 more than the number. Find the value of the number. Show steps!

Answer 1

4 or (-3)

Explanation:

x² = x + 12

x² - x -12 = 0

Sum = -1

Product = -12

Factors = (-4), 3

x² - x - 12 = x² - 4x +3x - 4 *3

= x(x - 4) + 3(x - 4)

= (x - 4) (x + 3)

x - 4 = 0 ; x + 3 = 0

x = 4 ; x = -3

The number is: 4 or (-3)