解方程:x平方+2x+2=6/(x+1)平方

问题描述:

解方程:x平方+2x+2=6/(x+1)平方

x²+2x+2=6/(x+1)²(x+1)²+1=6/(x+1)²令t=(x+1)²,则:t≧0原方程化为:t+1=6/tt²+t-6=0(t+3)(t-2)=0t1=-3(舍去)t2=2即:(x+1)²=2x+1=±√2x=-1±√2即:x1=-1-√2,x2=-1+√2...