Question

Solve 64x2 - 625 = 0

Answer 1

We have 64x2 - 625 = 0

or (8x)2 - (25)2 = 0

or (8x + 25) (8x - 25) = 0

i.e. 8x + 25 = 0

8x - 25 = 0.

This gives x=25/8 or 25/8.

Thus, x=-25/8, 25/8 are solutions of the given equations.