Question

Rozwiąż równania. a) (x-3)(5-x)-2=(2-x)(x-4)+3
b)(6-x)(x+2)+(x+3)(x-4)=2x+5
c)(x-5)(x+2)-(3-x)(2-x)=x-12
d)(2x-5)(x+1)-2=(1-x)(8-2x)+2x

Answer 1

a) (x-3)(5-x)-2=(2-x)(x-4)+3

5x-x²-15+3x-2=2x-8+x²+4x+3

8x-x²-17=x²+6x-5

8x-x²-x²-6x=-5+17

2x=12/2

x=6

b)(6-x)(x+2)+(x+3)(x-4)=2x+5

6x+12-x²-2x+x²-4x+3x-12=2x+5

3x=2x+5

3x-2x=5

x=5

c)(x-5)(x+2)-(3-x)(2-x)=x-12 x²+2x-5x-10-(6-3x-2x+x²=x-12 x²+2x-5x-10-6+3x+2x-x²=x-12 2x-16=x-12 2x-x=12+16 x=28
d)(2x-5)(x+1)-2=(1-x)(8-2x)+2x 2x²+2x-5x-5-2=8-2x-8x+2x²+2x 2x²-3x-7=2x²+8 2x²-2x²-3x=8+7 -3x=15/(-3) x=-5