求x的值:(1)log2(x²-2﹚=0 ﹙2﹚log﹙2x²﹚﹙3x²+2x-1﹚=1
问题描述:
求x的值:(1)log2(x²-2﹚=0 ﹙2﹚log﹙2x²﹚﹙3x²+2x-1﹚=1
答
(1)x^2-2=1
x^2=3
x=±√3,经检验,是方程的根.
(2)2x^2>0,且2x^2≠1,且3x^2+2x-1>0
x≠0,且x≠±1/√2,且x1/3
2x^2=3x^2+2x-1
x^2+2x-1=0
x1=-1+√2>1/3,x2=-1-√2