Rozwiąż 2 równania,zadanie w załczniku.
1.
x(2-x) = (x-7)(1-x)
2x-x² = x-x²-7+7x
x² - x² + 2x - x - 7x = -7
- 6x = - 7 /:(-6)
x = 7/6
2.
3x² = (x+2)(x+1)
3x² = x² +x+2x+2
3x² - x² - x - 2x - 2 = 0
2x² - 3x - 2 = 0
Δ = 9 - 4 ·2·(-2) = 9 + 16 = 25 , √Δ = 5
x₁= (3-5)/4 = -2/4 = -1/2
x₂ = (3+5)/4 = 8/4 = 2
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1.
x(2-x) = (x-7)(1-x)
2x-x² = x-x²-7+7x
x² - x² + 2x - x - 7x = -7
- 6x = - 7 /:(-6)
x = 7/6
2.
3x² = (x+2)(x+1)
3x² = x² +x+2x+2
3x² - x² - x - 2x - 2 = 0
2x² - 3x - 2 = 0
Δ = 9 - 4 ·2·(-2) = 9 + 16 = 25 , √Δ = 5
x₁= (3-5)/4 = -2/4 = -1/2
x₂ = (3+5)/4 = 8/4 = 2