几道数学题.写过程,写清楚

一.用开平方法解方程
2x^2=6
x^2=3
x=±√3

1/2(2x+1)^2=3
(2x+1)^2=6
2x+1=±√6
2x=±√6-1
x=(±√6-1)/2

(x+1)^2-144=0
(x+1)^2=144
x+1=±12
x=11或x=-13

二.用配方法解方程
x^2-2√2 x-1+=0
x^2-2√2 x+(√2)^2=1+(√2)^2
(x-√2)^2=3
x-√2=±√3
x=√2±√3

三.用公式法解方程
3y^2+1=2√3y
3y^2-2√3y+1=0
y={-(-2√3)±√[(-2√3)^2-4*3*1]}/(2*3)
y=[2√3±√(12-12)]/6
y=√3/3

四.解方程
(2x-1)(x-2)=-1
2x^2-5x+2=-1
2x^2-5x+3=0
(x-1)(2x-3)=0
x-1=0或2x-3=0
x=1或x=1.5

(5x-1)^2=3(1-5x)
(5x-1)^2-3(1-5x)=0
(5x-1)^2+3(5x-1)=0
(5x-1)(5x-1+3)=0
(5x-1)(5x+2)=0
5x-1=0或5x+2=0
x=0.2或x=-0.4

(2x-1)(x-2)=-1
解：2x^2-4x-x+2=-1
2x^2-5x+3=0
a=2,b=-5,c=3
b^2-4ac=1
5±√1
x= -------
4
x1=1 x2=1.5