用配方法解下列方程(写出过程)

4X2-45=31X

-3X2+22X-24=0

(3X+2)(X+3)=X+14

2(X+3)2=X(X+3)

(X+1)2-3(X+1)+2=0

4X2-45=31X

x^2-31/4x=45/4

[x-31/8]^2=45/4+961/64=1681/64

x-31/8=+/-41/8

x1=31/8+41/8=9

x2=-41/8+31/8=-5/4

-3X2+22X-24=0

x^2-22/3x+8=0

[x-11/3]^2=49/9

x-11/3=+/-7/3

x1=11/3+7/3=6

x2=11/3-7/3=4/3

(3X+2)(X+3)=X+14

3x^2+11x+6=x+14

3x^2+10x=8

x^2+10/3x=8/3

[x+5/3]^2=49/9

x+5/3=+/-7/3

x1=-5/3+7/3=2/3

x2=-5/3-7/3=-4

2(X+3)2=X(X+3)

2x^2+12x+18=x^2+3x

x^2+9x+18=0

[x+9/2]^2=9/4

x+9/2=+/-3/2

x1=-9/2+3/2=-3

x2=-9/2-3/2=-6

(X+1)2-3(X+1)+2=0

x^2+2x+1-3x-3+2=0

x^2-x=0

[x-1/2]^2=1/4

x-1/2=+/-1/2

x1=1/2+1/2=1

x2=1/2-1/2=0