If α and β are the zeros of the quadratic polynomial such that and , find a quadratic polynomial having α and β as its zeros.

Question

If &#x3B1; and &#x3B2; are the zeros of the quadratic polynomial such that and , find a quadratic polynomial having &#x3B1; and &#x3B2; as its zeros.

Philoid · Accepted Answer

A quadratic equation when sum and product of its zeros is given by:

, where k is a constant

Solving above eqn we get and

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