Question

Questão 1
Resolva as equações:
1)x2 - 5x + 6 = 0​

Answer 1

Olá, tudo bem?

x² — 5x + 6 = 0

=> x² — 5x + (5/2)² — (5/2)² + 6 = 0

=> (x—5/2)² — 25/4 + 6 = 0

=> (x — 5/2)² — 25 + 24/4 = 0

=> (x - 5/2)² - 1/4 = 0

=> [(x-5/2) — 1/2] [(x-5/2)+1/2] = 0

=> (x - 5/2 - 1/2)(x-5/2 + 1/2) = 0

=> (x-6/2)(x-4/2) = 0

=> (x — 3) (x — 2) = 0

=> x — 3 = 0 V x — 2 = 0

=> x = 3 V x = 2

Sol: {2; 3}

Espero ter ajudado!