已知x²-8x-3=0,求(x-1)(x3)(x-5)(x-7)

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已知x²-8x-3=0,求(x-1)(x3)(x-5)(x-7)
已知x²-8x-3=0,求(x-1)(x3)(x-5)(x-7)

已知x²-8x-3=0,求(x-1)(x3)(x-5)(x-7)
x²-8x=3
原式=[(x-1)(x-7)][(x-3)(x-5)]
=[(x²-8x)+7][(x²-8x)+15]
=(3+7)×(3+15)
=180

x²-8x-3=0
x²-8x=3
（x-1)(x-3)(x-5)(x-7)
=(x-1)(x-7)(x-3)(x-5)
=(x²-8x+7)（x²-8x+15)
=(3+7)(3+15)
=10×18
=180