Fast factorization of x ^ 2 (A-1) + 4 (1-A)

Fast factorization of x ^ 2 (A-1) + 4 (1-A)


x^2(a-1)+4(1-a)
=x^2(a-1)-4(a-1)
=(a-1)(x^2-4)
=(a-1)(x+2)(x-2)



X square - x = 240, please!


x^2-x+1/4=961/4
(x-1/2)^2=961/14
x-1/2=±31/2
x1=16 x2=-15



The solution of square of X + square of x = 72


A:
x^2+x^2=72
2x^2=72
x^2=36
X = - 6 or x = 6