Question

Solve x+1/x =25 1/25

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given

The equation $x+\frac{1}{x} =25\frac{1}{25}$.

To find

We have to solve the equation and find the roots of the equation.

Solutions

Simplify the equation

$\begin{aligned}&\begin{aligned}&{x}+\frac{1}{x}=25 \frac{1}{25} \\&\frac{x^{2}+1}{x}=\frac{626}{25}\end{aligned}\\&25\left(x^{2}+1\right)=626 x \text { (cross multibly) }\\&25 x^{2}+25-626 x=0 \\&25 x^{2}-626 x+25=0\\&25 x(x-25)-1(x-25)=0 \\&x=25, \frac{1}{25}\end{aligned}$

Hence the roots of the equation is $25, \frac{1}{25}.$