问题
解答题
解下列方程: (1)x2=4x; (2)x2+5x-2=0; (3)x2+2x-2=0; (4)x2-2
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答案
(1)x2=4x
x2-4x=0
x(x-4)=0
x1=0,x2=4
(2)x2+5x-2=0
∵a=1,b=5,c=-2
∴x=
=-b± b2-4ac 2a
=-5± 25+8 2 -5± 33 2
(3)x2+2x-2=0
∵a=1,b=2,c=-2
∴x=
=-b± b2-4ac 2a
=-1±-2± 4+8 2 3
(4)x2-2
x+1=02
∵a=1,b=-2
,c=12
∴x=
=-b± b2-4ac 2a
=2
±2 4 2
±12