用配方法解:3y方+1=2乘根号3y (2)2x方=3-7x (3)6x方-x-2=0 (4)9x方+6x方-8=0
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(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