(1)3y方+1=2乘根号3y
3y方-2乘根号3y =-1
y^2-2乘三分之根号3/y =-1/3
y^2-2乘根号3/3y +(三分之根号3)^2=-1/3+(三分之根号3/)^2
(y-三分之根号3)^2=0
解得y1=y2=三分之根号3
(2)2x方=3-7x
2x^2+7x=3
x^2+7/2*x=3/2
x^2+7/2*x+(7/4)^2=3/2+(7/4)^2
(x+7/4)^2=73/16
x+7/4=4分之根号73或x+7/4=-4分之根号73
即x1=4分之根号73-7/4 x2=-4分之根号73-7/4
(3)6x方-x-2=0
6x^2-x=2
x^2-1/6*x=1/3
x^2-1/6*x+(1/12)^2=1/3+(1/12)^2
(x-1/12)^2=49/144
x-1/12=7/12 或 x-1/12=-7/12
即x1= 2/3 x2=-1/2
(4)9x方+6x方-8=0
15x^2=8
x^2=8/15
x1= 15分之*陪根号30,x2=-15分之*陪根号30
(5)5x方-3=x方
5^2-x^2=3
4x^2=3
x^2=3/4
x1= 2分之根号3 ,x2=-2分之根号3