Question

Resolva a equação:

(x + 5)² = (2x - 3)²

Answer 1

(x + 5)² = (2x - 3)²
x²+10x+25 = 4x²-12x+9
x²-4x²+10x+12x+25-9 = 0
-3x²+22x+16 = 0 .(-1)
3x²-22x-16 = 0
/\ = 484 - 4.3.(-16)
/\ = 484 + 192
/\ =676
x = (-(-22)+/- \/676)/2.3
x = (22+/-26)/6
x' = (22+26)/6 --> x' = 48/6 --> x' = 8
x" = (22-26)/6 --> x" = -4/6 --> x" = -2/3