Question

The sum of a number and its reciprocal is 26/5

Answer 1

Answer:

HOPE IT WILL HELP YOU SORRY FOR LATE ANSWER.

Answer 2

Answer:

$Value \: of \: x = 5 \:or\: x=\frac{1}{5}$

Step-by-step explanation:

$Let \: the \:number = x$

$Reciprocal \: of \: the \\ number=\frac{1}{x}$

$Sum \: of \: the \: number \\and \: it's reciprocal = \frac{26}{5}$

$x +\frac{1}{x} = \frac{26}{5}$

$\frac{x^{2}+1}{x}=\frac{26}{5}$

$\implies 5(x^{2}+1)=26x$

$\implies 5x^{2}-26x+5=0$

$\implies 5x^{2}-25x-x+5=0$

$\implies 5x(x-5)-(x-5)=0$

$\implies (x-5)(5x-1)=0$

$\implies x-5=0 \:Or\:5x-1=0$

$\implies x = 5 \:Or \: x = \frac{1}{5}$

Therefore,

$Value \: of \: x = 5 \:or\: x=\frac{1}{5}$

••••♪

•••♪