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a fost răspuns

1.Rezolvati ecuatiile
a•)2x(cu linie deasupra)+xx(cu linie deasupra)=116
b•)8(15x+35x):10+3x=301
2.Rezolvati in N ecuatiile
a•)x+(x+1)+(x+2)+.........+(x+22)=144
b•)11+22+33+.......+88-2x=x+12
c•)2 la puterea 2x+5+2 la puterea 2x+1-2 la puterea 2x+3-2 la puterea 2x+2+2 la puterea2x+1+/2 la puterea 2x=624

Răspuns :

a) (barat)2x+(barat)xx=20+x+10*x+x=12*x+20=116. => x=8.

b) 8(15x+35x):10+3x=301 <=> (120x+280x):10+3x=301 <=> 400x:10+3x=301 <=> 40x+3x=301 <=> 43x=301 <=>x=7.

2.
a) x+(x+1)+(x+2)+...+(x+22)=144 <=> 23x+(1+2+...+22)=144 <=> 23x +22*23/2=144 <=> 23x+253 <=> 23x=-109 <=> 23x=-109 <=> x=-109/23, care NU apartine N. => ecuatia nu are solutie in N.

b) 11+22+33+...+88-2x=x+12 <=> 11(1+2+..+8)-2x=x+12 <=> 11*8*9/2=3x+12 <=> 396 =3x+12 <=> 384=3x <=> x=128.

c) aici nu prea pricep...foloseste paranteze te rog