Question

RESOLVA : (2x-1)²=(x+5)²

Answer 1

(2x-1)²=(x+5)²
(2x-1)×(2x-1)=(x+5)×(x+5)
4x²-2x-2x+1=x²+5x+5x+25
4x²-2x-2x-x²-5x-5x-25+1=0
3x²-14x-24=0

a = 3 b =-14 c =-24
Δ = b² - 4.a.c
Δ=(-14)² - 4.3.-24
Δ = 484
x = - b ± √∆ / 2a
x = -(-14) ± √484 / 2.3
x = +14± 22 / 6
x' = (14+22) / 6 x' = 6
x" = (14 - 22) /6 x" = 1,3