Question

(x - 6)^2 - 5 = 0 o valor de x?​

Answer 1

Resposta:

(x - 6) • (x - 6) - 5 = 0 / x² - 6x - 6x + 36 - 5 = 0 /

x² - 12x + 31 = 0 / ∆ = b² - 4.a.c / ∆ = (-12)² - 4. 1. 31

∆ = 144 - 124 / ∆ = 20.

x1 = - b + √∆ ÷ 2.a / x1 = -(-12) + √20 ÷ 2. 1 / x1 = 12 + 4,5 ÷ 2 / x1 = 16,5 ÷ 2 = 8,25

x2 = - b - √∆ ÷ 2.a / x1 = -(-12) - √20 ÷ 2. 1 / x1 = 12 - 4,5 ÷ 2 / x1 = 7,5 ÷ 2 = 3,75