Question

Solve x2 – StartFraction 16 Over 25 EndFraction = 0.

1. Isolate x2 : x2 = StartFraction 16 Over 25 EndFraction

2. Apply the square root property of equality:

StartRoot x squared EndRoot = StartRoot StartFraction 16 Over 25 EndFraction EndRoot
What are the solutions of the equation?

x = StartFraction 4 Over 25 EndFraction and x = StartFraction negative 4 Over 25 EndFraction
x = StartFraction 8 Over 25 EndFraction and x = StartFraction negative 8 Over 25 EndFraction
x = StartFraction 16 Over 25 EndFraction and x = Start Fraction negative 16 Over 25 EndFraction
x = StartFraction 4 Over 5 EndFraction and x = StartFraction negative 4 Over 5 EndFraction

Answer 1

x^2 = 16/25. Taking square roots gives x = ±√(16/25) = ±(4/5).

So the solutions are x = 4/5 and x = -4/5.