解方程⑴x눀+x=0⑵x눀-2√3x=0⑶3x눀-6x=-3⑷4x눀-121=0⑸3x(2x+1)

2024-12-12 22:00:32
推荐回答(1个)
回答1:

⑴x²+x=0
x(x+1)=0
x1=0 x2=-1
⑵x²-2√3x=0
(x-√3)^2=3
x-√3=±√3
x1=2√3 x2=0
⑶3x²-6x=-3
x^2-2x=-1
(x-1)^2=0
x-1=0
x1=x2=1
⑷4x²-121=0
4x^2=121
2x=±11
x1=11/2 x2=-11/2
⑸3x(2x+1)=4x+2
6x^2-x-2=0
(2x+1)(3x-2)=0
x1=-1/2 x2=2/3
⑹(x-4)²=(5-2x)²

(x-4)²-(5-2x)² =0
(x-4+5-2x)(x-4-5+2x)=0
(1-x)(3x-9)=0
x1=1 x2=3