3x - 4 9x² + 11x + 69 2x + 8
------- - ----------------- = --------
2x + 5 4x² - 25 5 - 2x
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2x + 5 # 0
2x # -5
x # -5/2
4x^2-25 # 0
4x^2 # 25
x # 5/2 oraz x # -5/2
5-2x # 0
2x # 5
x # 5/2
(3x-4)(2x-5) 9x^2 + 11x + 69 (-2x - 8)(2x+5)
--------------- - ------------------- - ---------------- = 0
(2x+5)(2x-5) (2x+5)(2x-5) (2x-5)(2x+5)
6x^2 - 15x - 8x + 20 - 9x^2 - 11x - 69 + 4x^2 + 10x + 16x + 40 = 0
x^2 -8x - 9 = 0
Δ = 64 + 36 = 100
√Δ = 10
x1 = 8+10/2 = 9
x2 = 8-10/2 = -1
Ustalamy dziedzinę równania:
Odp.
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2x + 5 # 0
2x # -5
x # -5/2
4x^2-25 # 0
4x^2 # 25
x # 5/2 oraz x # -5/2
5-2x # 0
2x # 5
x # 5/2
x # -5/2
x # 5/2
(3x-4)(2x-5) 9x^2 + 11x + 69 (-2x - 8)(2x+5)
--------------- - ------------------- - ---------------- = 0
(2x+5)(2x-5) (2x+5)(2x-5) (2x-5)(2x+5)
6x^2 - 15x - 8x + 20 - 9x^2 - 11x - 69 + 4x^2 + 10x + 16x + 40 = 0
x^2 -8x - 9 = 0
Δ = 64 + 36 = 100
√Δ = 10
x1 = 8+10/2 = 9
x2 = 8-10/2 = -1
Ustalamy dziedzinę równania:
Odp.