Question

Rozwiąż równania:

a)

b)

c)

d)

Answer 1

12-2(x-1)^2= 4(x-2)-(x-3)(2x-5)

12-2(x^2-2x+1)=4x-8-(2x^2-5x-6x+15)

12-2x^2+4x-2=4x-8-2x^2+5x+6x-15

-15x+4x=-12+2-8+5-15

-11x=-28

  x=  28/11

 

b/9x^2-6x+1--5(4x^2+4x+1)+12x^2+6x-6x-3=x^2-2x+1

9x^2-6x+1-20x^2-20x-5+12x^2-3=x^2-2x+1

21x^2-20x^2-x^2-6x-20x+2x=-1+5+3+1

-24x=8

x=-8/24=-1/3

 

c/

5(x^2-2x+1)-2(x^2+6x+9)=3(x^2+4x+4)-42x+7

5x^2-10x+5-2x^2-12x+18=3x^2+12x+12-42x+7

3x^2-3x^2-22x-12x+42x=-5-18+12+7

8x=4

x=1/2

 

d/

2x^2+x^2+10x+25-2(x^2+14x+49)=6x-146+x^2-12x+36

3x^2+10x+25-2x^2-28x+96=6x-145+x^2-12x+36

3x^2-2x^2-x^2+10x-28x+6x=-25+96-145+36

-12x=-40

x=-40/-12=10/3= 3 1/3