Question

CALCULATI ECUATIILE




Ofer coronita si 28 de puncte

Answer 1

a) 2/3 + (x+1)/2 = 5 - (4-x)/6

(7 + 3x)/ 6 = (30 - 4 + x)/6

7 + 3x = 26 + x

2x = 19

x = 19/2

b)

6x - 5x / 5 = 25x/3

x/5 = 25x/3

125x = 3x

x = 0

c)

1/4 * (1/4*(1/4*(x+4/4)+4)+1)+4 = 5

1/4 * (1/4*(x+68/16)+1)+4 = 5

1/4*(x+132/64)+4 = 5

x+1156/256 = 5

x + 1156 = 1280

x = 124

d)

2/3x + 2x - 1/3 = 2 - 2x + 11/3

2x + 6x - 1 = 6 - 6x + 11

14x = 18

x = 9/7

e)

37/3:((11/4:(40+45x/24))*8/11+5/3) =5

37/3:( 48/40 + 45x + 5/3) = 5

37/3:( 144+200+225x/120+135x) = 5

37/3 * 120+135x/144+200+225x = 5

1480 + 1665x = 720 + 1000 + 1125x

540x = 240

x = 4/9

f)

0,(1x) = 1x/99

1x/99 + 2x/99 + 3x/99 + ... + 9x/99 = x

1x + 2x + 3x + ... + 9x = 99x

Scriem 1x cu linie deasupra in baza 10

1x in baza zece = 10 + x

10 + x + 20 + x + 30 + x + ... + 90 + x = 99x

10+20+30+...+90 + 9x = 99x

450 + 9x = 99x

90x = 450

x = 5