问题
解答题
解方程:
(1)2x2+1=3x
(2)(x-1)(x+2)=6.
答案
(1)2x2+1=3x,
2x2-3x+1=0,
(x-1)(2x-1)=0,
解得:x1=1,x2=
;1 2
(2)(x-1)(x+2)=6
x2+x-8=0,
b2-4ac=12+32=33,
x=-1± 33 2
解得:x1=
,x2=-1+ 33 2
.-1- 33 2
解方程:
(1)2x2+1=3x
(2)(x-1)(x+2)=6.
(1)2x2+1=3x,
2x2-3x+1=0,
(x-1)(2x-1)=0,
解得:x1=1,x2=
;1 2
(2)(x-1)(x+2)=6
x2+x-8=0,
b2-4ac=12+32=33,
x=-1± 33 2
解得:x1=
,x2=-1+ 33 2
.-1- 33 2