x₁ = -2
x₂ = ≈ 2,33333
Объяснение:
(2x-3)(2x+3)-(x-2)² - 1 =5x
4x² - 9 - (x² - 4x + 4) - 1 = 5x
4x² - 9 - x² + 4x - 4 - 1 = 5x
3x² + 4x - 5x = 1 + 4 + 9
3x² - x = 14
3x² + 6x - 7x - 14 =0
3x(x+2) - 7(x+2) = 0
(x+2)(3x-7) = 0
x+2 = 0
3x - 7 = 0
x₁ = -2
x₂ =
≈ 2,33333
Объяснение:
(2x-3)(2x+3)-(x-2)² - 1 =5x
4x² - 9 - (x² - 4x + 4) - 1 = 5x
4x² - 9 - x² + 4x - 4 - 1 = 5x
3x² + 4x - 5x = 1 + 4 + 9
3x² - x = 14
3x² + 6x - 7x - 14 =0
3x(x+2) - 7(x+2) = 0
(x+2)(3x-7) = 0
x+2 = 0
3x - 7 = 0
x₁ = -2
x₂ =
≈ 2,33333