Find the values of x which satisfy the equation 16x – 5 x 4x + 4 = 0
-
A.
1 and 4 -
B.
-2 and 2 -
C.
0 and 1 -
D.
-1 and 0
Correct Answer: Option C
Explanation
16x – 5 x 4x + 4 = 0
(4x)2 – 5(4x) + 4 = 0
let 4x = y
y2 – 5y + 4 = 0
(y – 4)(y – 1) = 0
y = 4 or 1
4x = 4
x = 1
4x = 1
i.e. 4x = 4o, x = 0
∴ x = 1 or 0