Question

Va rog sa ma ajutati dau coroanasi 100 de puncte!!!
Calculati:
a)5/6-x=1/2
b)2 intregi si 1/2inmultit cu x=25/14
c)5/6:x= 8 intregi si 1/3
d)7/2(2x/1+2/7)=(1 intreg si 1/2)la puterea a doua

Answer 1

a)   5/6-x=1/2
→ se aduc la acelasi numitor (6)
5 - 6x = 3 ⇒ x = (5-3)/6 = 2/6 = 1/3

b) 2 intregi si 1/2 ×  x=25/14
2 intregi si 1/2 = (2×2+1)/2 = 5/2
5x / 2 = 25/14
14 ·5 · x = 2 · 25 
x = 50/70 = 5/7
 
c)    5/6:x= 8 intregi si 1/3
8 intregi si 1/3 = ( 8×3+1)/3 = 25/3
5/6 × 1/x = 25 /3
5/6x = 25 /3
25 × 6x= 3 x 5 
x = 15/150 = 1/10

d)      7/2(2x/1+2/7)=(1 intreg si 1/2)²

7/2 ( 7·2x /7 + 2/7) = (3/2)²
7/2  × 2 (7x + 1) /7 = 3²/2²  → se simplifica 2 cu 2, dar si 7 cu 7
7x+1 = 9/4 → se amplifica cu 4
28x +4 = 9
x = 5/28=0 ,178