(x+2)(x+3) (x-4)(x+1) (y+4)(y-2) (y-5)(y-3)解方程组:(x+10)(x-8)=x的平方-100

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(x+2)(x+3)(x-4)(x+1)(y+4)(y-2)(y-5)(y-3)解方程组:(x+10)(x-8)=x的平方-100(x+2)(x+3)(x-4)(x+1)(y+4)(y-2)(y-5)

(x+2)(x+3) (x-4)(x+1) (y+4)(y-2) (y-5)(y-3)解方程组:(x+10)(x-8)=x的平方-100
(x+2)(x+3) (x-4)(x+1) (y+4)(y-2) (y-5)(y-3)
解方程组:(x+10)(x-8)=x的平方-100

(x+2)(x+3) (x-4)(x+1) (y+4)(y-2) (y-5)(y-3)解方程组:(x+10)(x-8)=x的平方-100
(x+2)(x+3)=x²+5x+6
(x-4)(x+1)=x²-3x-4
(y+4)(y-2)=y²+2y-8
(y-5)(y-3)=y²-8y+15
x²+2x-80=x²-100
2x=-20
x=-10


(x+2)(x+3)
=x²+2x+3x+6
=x²+5x+6
(x-4)(x+1)
=x²-3x-4
(y+4)(y-2)
=y²-2y+4y-8
=y²+2y-8
(y-5)(y-3)
=y²-3y-5y+15
=y²-8y+15

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(x+2)(x+3)
=x²+2x+3x+6
=x²+5x+6
(x-4)(x+1)
=x²-3x-4
(y+4)(y-2)
=y²-2y+4y-8
=y²+2y-8
(y-5)(y-3)
=y²-3y-5y+15
=y²-8y+15
(x+10)(x-8)=x²-100
(x+10)(x-8)=(x-10)(x+10)
当x+10=0时,方程成立
∴x=-10
当x+10≠0时,方程两边除以x+10
∴x-8=x-10
不成立
∴x=-10

收起

﹙x+10﹚﹙x-8﹚=x²-100
x²+2x-80=x²-100
2x=180
x=90

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