Question

Oblicz wartość wyrażenia, gdy x=-√3
(√2x-1)(√2x+1)-(√2x-1)^2+(x-√2)^2

Answer 1

(√2x - 1)(√(2x + 1) - (√2x - 1)² + (x - √2)² =
= 2x² - 1 - (2x² - 2√2x + 1) + x² - 2√2x + 2 =
= 2x² - 1 - 2x² + 2√2x - 1 + x² - 2√2x + 2 =
= x²

dla x = -√3
x² = (-√3)² = (-√3)(-√3) = 3