Question

IF (x-1)² = (2x-3)² then the values of x are
(A) 2/3, 4/3
(B) 2, 473
(C) 3/2, 2
(D) 3, 2/3​

Answer 1

Answer:

(x-1)² = (2x-3)²

±√[(x-1)²] = 2x-3

±(x-1) =2x-3

Taking +ve,

x-1 = 2x-3

-1+3 =2x-x

3-1 =x

2 =x

Taking -ve,

-1(x-1) = 2x-3

-x +1 = 2x-3

+1+3 = 2x+x

4=3x

4/3 =x

Answer 2

Hope it might help you..