4. Find the values of for which the following equations have real and equal roots

Quadratic is that type of problem which deals with a variable multiplied by itself – an operation known also as squaring.

(i)

Solution:

Given,

It’s of the form of

Where,

For the given quadratic equation to have real roots

⇒

⇒

⇒

⇒

The value of should  to have real and equal roots.

(ii)

Solution:

Given,

It’s of the form of

Where,

For the given quadratic equation to have real roots

⇒ [dividing by both sides]

⇒

⇒

The value of should  to have real and equal roots.