Question

Rozwiąż równania stosując wzory skróconego mnożenia:
1.(x+3)^2-2(x-5)=(x-1) (x+1)+12

2.(x-3) (x+3)+10=(x-2)^2+x

3.(2x+3)^2+1=4(x-2) (x+2)-5x-8

4.(2x-1) (2x+1)+6=4(x-4)^2+3x

5.(4x+3)^2+10=(4x-1) (4+1)+4x

Answer 1

1.

 

(x+3)²-2(x-5)=(x-1)(x+1)+12

x²+6x+9-2x+10=x²-1+12

4x=-8

x=-2

 

2

.(x-3)(x+3)+10=(x-2)²+x

x²-9+10=x²-4x+x

-3x=-3

x=-1

 

3.

(2x+3)² + 1= 4(x-2)(x+2)-5x-8

4x²+12x+10=4(x²-4)-5x-8

12x+10=-24-5x

17x=-34

x=-2

 

4.

(2x-1)(2x+1)+6=4(x-4)² +3x

4x²+5=4x²-32x+64+3x

-29x=-59

x=59/29

 

5.

(4x+3)² + 10=(4x-1)(4x+1)+4x

16x²+24x+19=16x²-1+4x

24x+19=-1+4x

20x=-20

x=-1