Пошаговое объяснение:
3*(x+3)/(x²+2x-3) - 2*(x - 1)/(x²+2x-3) = 1/2
(3x + 9)/(x²+2x-3) - (2x - 2)/(x²+2x-3) = 1/2
(x + 11)/(x²+2x-3) = 1/2
x²+2x-3 = 2x + 22
x²+2x-3 - 2x - 22 = 0
x²-25 = 0
x² = 25
x₁ = -5
x₂ = 5
Пошаговое объяснение:
3*(x+3)/(x²+2x-3) - 2*(x - 1)/(x²+2x-3) = 1/2
(3x + 9)/(x²+2x-3) - (2x - 2)/(x²+2x-3) = 1/2
(x + 11)/(x²+2x-3) = 1/2
x²+2x-3 = 2x + 22
x²+2x-3 - 2x - 22 = 0
x²-25 = 0
x² = 25
x₁ = -5
x₂ = 5