用适当的方法解下列方程:(1)x2-2x-9=0;(2)(5x-3)2+2(3-5x)=0

2025-06-27 09:15:31
推荐回答(2个)
回答1:

(1)a=1,b=-2,c=-9,
△=b2-4ac=4+36=40>0,有两个不相等的实数根,
x=

?b±
b2?4ac
2a
=
40
2
=1±
10

x1=1+
10
,x2=1-
10

(2)原方程变形为:(5x-3)2-2(5x-3)=0,
(5x-3)(5x-3-2)=0,
5x-3=0,5x-5=0,
x1=
3
5
,x2=1.

回答2:

解: (1)x²-2x-9=0
x=[2±√(4+36)]/2
=[2±√40]/2
=1±√10
x1 =1+√10 x2 =1-√10

(2)(5x-3)²+2(3-5x)=0
(5x-3)[(5x-3)-2]=0
(5x-3)(5x-5)=0
(5x-3)=0 x1=3/5
(5x-5)=0 x2=1