初一数学 求学霸解答。
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解答:
1/(X+4)+1/(X+7)=1/(X+5)+1/(X+6)
1/(X+4)-1/(X+5)=1/(X+6)-1/(X+7)
(x+5-x-4)/(x+4)(x+5)=(x+7-x-6)/(x+6)(x+7)
1/(x²+9x+20)=1/(x²+13x+42)
x²+9x+20=x²+13x+42
9x-13x=42-20
-4x=22
x=-11/2.
1/(X+4)+1/(X+7)=1/(X+5)+1/(X+6)
1/(X+4)-1/(X+5)=1/(X+6)-1/(X+7)
(x+5-x-4)/(x+4)(x+5)=(x+7-x-6)/(x+6)(x+7)
1/(x²+9x+20)=1/(x²+13x+42)
x²+9x+20=x²+13x+42
9x-13x=42-20
-4x=22
x=-11/2.
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追答
(2x+3xy-4y)/(x-3xy-2y)
=(2/y+3-4/x)/(1/y-3-2/x)
=[3-4(1/x-1/2y)]/[-3-2(1/x-1/2y)]
=(3-4/3)/(-3-2/3)
=(9-4)/(-9-2)
=5/11
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