Question

How do I solve this problem?

Answer 1

4x^2 -17x = -4
4x^2 - 17x + 4 = 0

4x^2 - 16x - x + 4 =0
4x ( x - 4) - (x -4) = 0
(4x -1) (x-4) =0

now, we need to find the zeroes (or roots) of this quadratic equation:


4x -1 =0
4x = 1
x = 1/4

x-4 =0
x = 4


so,
the value of x is either (1/4) or 4.