Question

x-5=1/x-3 resposta urgente

Answer 1

(x - 5) = 1/(x - 3)
(x - 5)(x - 3) = 1
x² - 8x + 15 = 1
x² - 8x + 14 = 0

∆ = (-8)² - 4.1.14
∆ = 64 - 56
∆ = 8
√∆ = 2√2

x = (8 ± 2√2)/2
x' = 4 - √2
x" = 4 + √2

S = {4 - √2, 4 + √2}