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X2(2x-7)-2x2+7x-6(2x-7)
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X²(2x-7)-2x²+7x-6(2x-7) = (2x-7)(x²-6)-2x²+7x = (2x-7)(x²-6)-x(2x-7) = (2x-7)(x²-x-6) = (2x-7)(x+2)(x-3)
Δ=(-1)²-4·1·(-6)
Δ=1+24
Δ=25
√Δ=5
x₁ =(1-5)/2 = (-4)/2 = -2
x₂ = (1+5)/2 = 6/2 = 3
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X²(2x-7)-2x²+7x-6(2x-7) = (2x-7)(x²-6)-2x²+7x = (2x-7)(x²-6)-x(2x-7) = (2x-7)(x²-x-6) = (2x-7)(x+2)(x-3)
Δ=(-1)²-4·1·(-6)
Δ=1+24
Δ=25
√Δ=5
x₁ =(1-5)/2 = (-4)/2 = -2
x₂ = (1+5)/2 = 6/2 = 3