Solve the following equation (3x – 2)(5x – 4) = (3x – 2)2
-
A.
(frac{-2}{3}), 1 -
B.
1 -
C.
(frac{2}{3}), 1 -
D.
(frac{2}{3}), (frac{4}{5})
Correct Answer: Option C
Explanation
(3x – 2)(5x – 4) = (3x – 2)2 = 5x2 – 22x + 6
= 9x2 = 12x + 4
6x2 – 10x + 4 = 0
6x2 – 6x – 4x + 4 = 0
6x(x – 1) -4(x – 1) = (6x – 4)(x -1) = 0
x = 1 or (frac{2}{3})