# Form the quadratic equation whose roots are the squares of the sum of the roots and square of the difference of the root of the equation #2x^2+2(m+n)x+m^2+n^2=0#.?

##### 1 Answer

#### Answer:

Desired equation is

#### Explanation:

Let

As such

and

We have to find the equation whose roots are

Sum of these roots will be

=

=

Product of these roots will be

=

=

=

=

=

Hence equation will be