Question

Rozwiąż równania.

a) (x+1)(x+8)=(x+2)(x+5)

b)(x-4)^2 -1=(x-3)(x-2)

c) (x-2)^2 -x(x-4)=4(x-3)

d) (x-9)(x-5)=x^2 +56-14x

e) x^2 -(x+3)(x+4)=x+20

f) (x-1)(x+1)-x(x+2)-1=2(x+1)

^2 do potęgo 2 :]

Dam Naj:d

Answer 1

a) (x+1)(x+8)=(x+2)(x+5)

x²+x+8x+8=x²+2x+5x+10

x²+x+8x-x²-2x-5x=10-8

2x=2

x=1

b)(x-4)^2 -1=(x-3)(x-2)

x²-8x+16-1=x²-3x-2x+6

x²-8x-x²+3x+2x=6+1-16

-3x=-9

x=3

c) (x-2)^2 -x(x-4)=4(x-3)

x²-4x+4-x²+4x=4x-12

x²-4x-x²+4x-4x=-12-4

-4x=-16

x=4

d) (x-9)(x-5)=x^2 +56-14x

x²-9x-5x+45=x²+56-14x

x²-9x-5x-x²+14x=56-45

0=11

e) x^2 -(x+3)(x+4)=x+20

x²-(x²+3x+4x+12=x+20

x²-x²-3x-4x-12=x+20

x²-x²-3x-4x-x=20+12

-8x=32

x=-4

f) (x-1)(x+1)-x(x+2)-1=2(x+1)

x²-1-x²-2x-1=2x+2

x²-x²-2x-2x=2+1+1

-4x=4

x=-1