Question

(1-5x)² + 2 (3- 2x ) = 46

Answer 1

Resposta:

x1 = 39/25 ; x2 = -1

Explicação passo-a-passo:

(1 - 5x)² + 2(3 - 2x) = 46 → (1 - 5x)(1 - 5x) + 6 - 4x = 46 → 1 -5x -5x + 25x² + 6 - 4x = 46 → 7 - 14x + 25x² = 46 → 25x² - 14x - 39 = 0

Δ = (-14)² - 4.(25).(-39)

Δ = 196 + 3900

Δ = 4096 → Δ > 0 → x1 ≠ x2

x = (14 ± 64)/50 → x1 = 39/25 ; x2 = -1