Question

rezolvati ecuatiile:a)2supra3•x+1supra4=1supra2;b)3 supra 5•x-1supra2=1supra10;c)3intregi 1supra5-2supra3•x=3;d)7supra 5•x+2supra3•1supra2=31supra30;e)x•3supra5+4supra3:8supra15=2intregi 9suora10;f)7supra5•15supra14-x•9supra4=3supra4;g)x•1intregi 2supra5=10+x;h)x-12intregi 1supra2=3supra4•x; va rooog frumos

Answer 1

a)2x/3+1/4=1/2
Aducem la numitorul comun 12 si il eliminăm
8x+3=6
8x=6-3
8x=3
x=3/8
b)3x/5-1/2=1/10
Aducem la numitorul comun 10 si il eliminăm
6x-5=10
6x=10+5
6x=15
x=15/6
x=5/3
c)3intregi1/5-2x/3=3
(3•5+1)/5-2x/3=3
16/5-2x/3=3
Aducem la numitorul comun 15 si il eliminăm
48-10x=45
10x=48-45
10x=3
x=3/10

d)7x/5+2/3•1/2=31/30
7x/5+2/6=31/30
7x/5+1/3=31/30
Aducem la numitorul comun 30 si il eliminăm
42x+10=31
42x=31-10
42x=21
x=21/42
x=1/2

e)3x/5+(4/3)/(8/15)=(2•10+9)/10
3x/5+(4•15)/(3•8)=29/10
3x/5+60/24=29/10
3x/5+5/3=29/10
Aducem la numitorul comun 30 si il eliminăm
18x+50=87
18x=87-50
18x=37
x=37/18

f)7/5•15/14-9x/4=3/4
3/2-9x/4=3/4
Aducem la numitorul comun 12 si il eliminăm
18-27x=9
27x=18-9
27x=9
x=9/27
x=1/3

g)x•(1•2+5)/5=10+x
7x/5=10+x
7x-x=10•5
6x=50
x=50/6
x=25/3

h)x-(12•1+2)/2=3x/4
x-14/2=3x/4
x-7=3x/4
3x-x=-7•4
2x=-28
x=-14