满足22x+1-3•2x+1+4=0的x的值为 ______.
题型:填空题难度:一般来源:不详
满足22x+1-3•2x+1+4=0的x的值为 ______. |
答案
由方程22x+1-3•2x+1+4=0,得 2×22x-6•2x+4=0; 设2x=t,则2t2-6t+4=0,即t2-3t+2=0, ∴(t-1)(t-2)=0, 解得,t=1或t=2; ①当t=1时,2x=1, 解得,x=0; ②当t=2时,2x=2, 解得,x=1. 故答案为:1或0. |
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