Answer:
x = ± 6
Step-by-step explanation:
Given
x² + 64 = 100 ( subtract 64 from both sides )
x² = 36 ( take the square root of both sides )
x = ± = ± 6
let p¼ = a, q¼ = b
L.H.S. = (a - b)(a + b)(a² + b²) = (a² - b²)(a² + b²) = (a²)² - (b²)² = p - q = R.H.S.