The square of a number is 12 more than the original number. Find the two possible original numbers

+12

(1) Answers

Bucholtz970

Let the number be x.
Square of the number = x²
Given,
x² = x + 12
x² -x -12 = 0
x² - 4x + 3x -12 = 0
x(x - 4) + 3(x - 4) = 0
(x - 4)(x + 3) = 0
x = 4 or -3
Hence, the two possible numbers are 4 or -3.