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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32117)