问题
解答题
解方程.
(1)(x-1)2+21=(x+1)2-1;
(2)(2x-1)(4x2+2x+1)=8x(x-2)(x+2).
答案
(1)(x-1)2+21=(x+1)2-1,
(x-1)2-(x+1)2=-1-21,
-4x=-22,
解得x=5.5;
(2)(2x-1)(4x2+2x+1)=8x(x-2)(x+2),
8x3-1=8x3-32x,
-1=-32x,
解得x=
.1 32
解方程.
(1)(x-1)2+21=(x+1)2-1;
(2)(2x-1)(4x2+2x+1)=8x(x-2)(x+2).
(1)(x-1)2+21=(x+1)2-1,
(x-1)2-(x+1)2=-1-21,
-4x=-22,
解得x=5.5;
(2)(2x-1)(4x2+2x+1)=8x(x-2)(x+2),
8x3-1=8x3-32x,
-1=-32x,
解得x=
.1 32