Advertisement Remove all ads

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`

Advertisement Remove all ads

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?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.3 | Q 54 | Page 21
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×