Question

determine o valor desta equaçao

x/(x+1)+(X+1)/x = 13/6 onde
x ≠ -1 e x ≠ 0

Answer 1

X/(X+1) + (X+1)/X = 13/6
MMC DE (X, X+1) = X²+X.LOGO:
((X *X + (X+1)*(X+1))/X² +X = 13/6.
(X² +X²+X+X+1)/X²+X= 13/6
(2X²+2X+1)/X²+X = 13/6
12X²+12 X + 6 = 13X² + 13 X
X² +X -6 = 0.
DELTA= 25.√25=5
X= (-1 +-5)/2
X1= 2
X2=-3.
SOLUÇÃO: (2,-3)