问题
解答题
解方程(1)x2-5x-6=0
(2)5x(x-3)-(x-3)(x+1)=0
答案
(1) x2-5x-6=0,
(x-6)(x+1)=0,
∴x-6=0,x+1=0,
解得x1=6,x2=-1.
(2) 5x(x-3)-(x-3)(x+1)=0,
(x-3)(5x-x-1)=0,
(x-3)(4x-1)=0,
∴x-3=0,4x-1=0,
解得x1=3,x2=
.1 4
解方程(1)x2-5x-6=0
(2)5x(x-3)-(x-3)(x+1)=0
(1) x2-5x-6=0,
(x-6)(x+1)=0,
∴x-6=0,x+1=0,
解得x1=6,x2=-1.
(2) 5x(x-3)-(x-3)(x+1)=0,
(x-3)(5x-x-1)=0,
(x-3)(4x-1)=0,
∴x-3=0,4x-1=0,
解得x1=3,x2=
.1 4