If α and β are the zeros of the quadratic polynomial , show that .

Question

If &#x3B1; and &#x3B2; are the zeros of the quadratic polynomial , show that .

Philoid · Accepted Answer

Let one root of the given quadratic polynomial is

Other root of the given quadratic polynomial is β

Sum of the roots = = = =

Product of the roots = = =

⇒ = +1

⇒ On substituting values, we get

⇒ =