用合适的方法解下列方程(1)2x 2 -7x+5=0(用公式法解)(2)3x 2 -10x-5=0(用配方法解)(3)2x(x-3

2024-10-30 17:16:45
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网友(1):

(1)2x 2 -7x+5=0,
b 2 -4ac=(-7) 2 -4×2×5=9,
x=
9
2×2

x 1 =1,x 2 =
5
2


(2)3x 2 -10x-5=0,
3x 2 -10x=5,
x 2 -
10
3
x=
5
3

配方得:x 2 -
10
3
x+(
5
3
2 =
5
3
+(
5
3
2
(x-
5
3
2 =
40
9

开方得:x-
5
3
2
10
3

x 1 =
5+2
10
3
,x 2 =
5-2
10
3


(3)2x(x-3)=9-3x,
2x(x-3)+3(x-9)=0,
(x-3)(2x+3)=0,
x-3=0,2x+3=0,
x 1 =3,x 2 =-
3
2


(4)(x-5)(x+2)=8,
x 2 -3x-18=0,
(x-6)(x+3)=0,
x-6=0,x+3=0,
x 1 =6,x 2 =-3.