Question

a)x(x+4)=(x+1)(x+2)

b)(x+3)(2x-2)=(2x+3)(x+1)

c)(x+1²)+2x+2=(x-1)²-4

d)2x(x+3)+(x+4)²=(x-1)(3x+2)+3

e)3x(2x-3)-5(x-1)²-(x+2)(x-2)=0

f)1+2x²+(x+5)²-2(x-7)(x+7)=(x-6²)

Answer 1

a) x²+4x=x²+2x+x+2

4x=3x+2

x=2

 

b)2x²-2x+6x-6=2x²+2x+3x+3

6x-6=3x+3

3x-6=3

3x=9

x=3

 

c)(x+1)²+2x+2=(x-1)²-4

x²+2x+1+2x+2=x²-2x-1-4

2x+3=-5

2x=-8

x=4

 

d)2x²+6x+x²+8x+16=3x²+2x-3x-2+3

14x+16=-x+1

15x=-15

x=-1

 

e)6x²-9x-5(x²-2x+1)-(x²+4x-4)=0

6x²-9x-5x²+10x-5-x²+4=0

x=1

 

f)1+2x²+(x+5)²-2(x-7)(x+7)=(x-6)²

1+2x²+x²+10x+25-2(x²-49)=x²-12x+36

3x²+10x+26-2x²+98=x²-12x+36

10x+88=-12x

-22x=88

x=-4