Question

Rozwiąż równania!! (zadanie w załączniku)

Answer 1

1) x-2+5x=7

6x=7+2

6x=9/:6

x=9/6=1½

2)8x-2(3-4x)+10x=16+8x

8x-6+8x+10x=16+8x

26x-8x=16+6

18x=22/:18

x=22/18=11/9=1i2/9

3)2x+4/2+1/3x=5

2(x+2)/2+1/3x=5

x+2+1/3x=5

x+1/3x=5-2

4/3x=3/:4/3

x=3:4/3=3*3/4=9/4=2i1/4

4)1i1/2(x-2/3)=0,2

3/2x-2/3=1/5

3/2x=1/5+2/3

3/2x=3/15+10/15

3/2x=13/15 | : 3/2

x=13/15 *2/3=26/45

5)x²-4/5-x²-10x+25/2=5x-13,6 | *10

10(x²-4)/5-10(x²-10x+25)/2=50x-136

2(x²-4)-5(x²-10x+25)=50x-136

2x²-8-5x²+50x-125=50x-136

-3x²=-136+125+8

-3x²=-3 | : (-3)

x²=1

x=1 u x=-1

6)(2/3x+4 kres.ułam3   - 0,5)*2/3=1   | *3

(2/3x+4-1,5)*2=3

(2/3x+2,5)*2=3

4/3x+5=3

4/3x=-2 | : 4/3

x= - 2* 3/4

x=-1,5

7)1/2x-6x+9 : (-3)=2-1/8x+1

1/6x+2x-3=2-1/8x+1

4/24x+2x+3/24x=2+3+1

55/24x=6 | : 55/24

x=6*24/55

x=144/55

x=2 i 34/55

8)6(3x+1)²-3(x-3)=6(3x-4)²-2(x+1)

6(9x²+6x+1)-3x+9=6(9x²-24x+16)-2x-2

54x²+36x+6-3x+9=54x²+144x+2x=-2+96+9+6

179x=109/:179

x=109/179

9) 9x²-12x+4- 2(2x-4)/-2=9x²+6x+1-2x+4

9x²-12x+4+2x-4=9x²+6x-2x+5

9x²-9x²-12x+2x+2x=5+4-4

-8x=5 /:(-8)

x=-5/8