Answer:
X1 = 3/2 or
X2 = 1/4
Explanation:
Basic formula:
(X1+X2)^2 = X1^2 + 2X1.X2 + X2^2
(X1-X2)^2 = X1^2 - 2X1.X2 + X2^2
First, identify 2 groups:
(3x-2)^2 - (x+1)^2
Second, use the basic formula to elaborate these 2 groups:
= (X1-X2)^2 - (X1 + X2)^2
= (3x-2)^2 - (x+1)^2
= (9x^2 - 12x + 4) - (x^2 + 2x + 1)
= 9x^2 - 12x + 4 - x^2 - 2x - 1
= 8x^2 - 14x + 3 .... (b)
Third, factor the (b) equation:
8x^2 - 14x + 3 = 0
(8x - 12) (8x - 2) = 0
8
4(2x - 3) 2(4x - 1) = 0
8
2x - 3 = 0
2x = 3
x1 = 3/2
or
4x - 1 = 0
4x = 1
x2 = 1/4
Hope it helps. Thanks!