Question

Sum of a number and its reciprocal is $5\frac{1}{5}$. Then the required equation is

• A. $y^2+\frac{1}{y}=\frac{26}{5}$
• B. $5y^2-26y+5=0$
• C. $y^2+\frac{1}{y}+\frac{26}{5}=0$
• D. $5y^2+26y+5=0$

Answer 1

The correct option is B $5y^2-26y+5=0$

Let $y$ be any number.

$⟹$ $y+\frac{1}{y}=5\frac{1}{5}$

$⟹$ $y+\frac{1}{y}=\frac{26}{5}$

$⟹$ $5(y^2+1)=26y$

$⟹$ $5y^2+5=26y$

$\therefore$ $5y^2-26y+5=0$