# Solve the Following Quadratic Equations by Factorization: X^2+(A+1/A)X+1=0 - Mathematics

Solve the following quadratic equations by factorization:

x^2+(a+1/a)x+1=0

#### Solution

We have been given

x^2+(a+1/a)x+1=0

x^2+ax+1/ax+1=0

x(x+a)+1/a(x+a)=0

(x+1/a)(x+a)=0

Therefore,

x+1/a=0

x=-1/a

or,

x + a = 0

x = -a

Hence, x=-1/a or x = -a

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 10 Maths