Question

a positive number is subtracted from 1/4 of its square, the result is 48. Find the number.
you will get 10 points

Answer 1

Answer:

x^2/4 - x = 48

x^/4 - x - 48 = 0

multiply each term by 4

x^2/4 *4 - 4x - 192 = 0

x^2 - 4x - 192 =0

x^2 - 12x + 16x - 192 = 0

x(x-12) + 16(x-12) = 0

(x - 12)(x + 16) = 0

x = 12 or -16