Given:

We know that:

According to Newton's identities, we have the relation:

This implies:

From , it follows that:

Now, we are tasked with finding the quadratic equation whose roots are and . For such a quadratic equation:

Using the relationship between roots and coefficients, the equation with roots and is:

Substitute the known sum and product of and :

Given that and , we can simplify:

This simplifies to:

Thus, the quadratic equation having roots and is:

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