搜搜考试网(x+y)(x+2y)(x+3y)(x+4y)=-40
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(x+y)(x+2y)(x+3y)(x+4y)=-40
y的值为根号11
y的值为根号11
我把方法告诉你,最后的答案你自己做吧,很容易.
(x+y)(x+2y)(x+3y)(x+4y)=-40
(x+y)（x+4y）(x+2y)(x+3y）=-40
(x^2+5yx+44)(x^2+5yx+66)=-40
(x^2+5yx+44)(x^2+5yx+44+22)=-40
(x^2+5yx+44)^2+22(x^2+5yx+44)+40=0
设x^2+5yx+44=m,则原方程化为m^2+22m+40=0,解之得,m1=-20;m2=-2
于是有（1）x^2+5yx+44=-20（2）x^2+5yx+44=-2
把答案解出来即可,注意增根或不符合题意的未知数的值
(x+y)(x+2y)(x+3y)(x+4y)=-40
(x+y)（x+4y）(x+2y)(x+3y）=-40
(x^2+5yx+44)(x^2+5yx+66)=-40
(x^2+5yx+44)(x^2+5yx+44+22)=-40
(x^2+5yx+44)^2+22(x^2+5yx+44)+40=0
设x^2+5yx+44=m,则原方程化为m^2+22m+40=0,解之得,m1=-20;m2=-2
于是有（1）x^2+5yx+44=-20（2）x^2+5yx+44=-2
把答案解出来即可,注意增根或不符合题意的未知数的值
(x+y)(x+2y)(x+3y)(x+4y)=-40
{3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1
x+y/2+x-y/3=6,4(x+y)-3(x-y)=-20
{(x+y)/2+(x-y)/3=6 4(x+y)-3(x-y)=-20
4(x+y)-3(x-y)=-20,2/x+y+3/x-y=6
3(x+y)-4(x-y)=11,2(x-y)+5(x+y)=27
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