prove that the sum of the real number and its reciprocal is 5/3 why
LET THE NUMBER BE X
IT'S RECIPROCAL=1/X
THEN,
X+1/X=5/3
X2+1/X=5/3
3(X2+1)=5X
3X2+3=5X
3X2-5X+3=0
DISCRIMINANT=
52-4*3*3
=25-36
=-11
THE DISCRIMINANT IS NEGATIVE .SO NO SOLUTION.
THE SUM OF A NUMBER AND IT'S RECIPROCAL NEVER BE 5/3.
IT'S RECIPROCAL=1/X
THEN,
X+1/X=5/3
X2+1/X=5/3
3(X2+1)=5X
3X2+3=5X
3X2-5X+3=0
DISCRIMINANT=
52-4*3*3
=25-36
=-11
THE DISCRIMINANT IS NEGATIVE .SO NO SOLUTION.
THE SUM OF A NUMBER AND IT'S RECIPROCAL NEVER BE 5/3.