If alpha and beta are the zeros of the polynomial equal to x square + bx + c equal to zero then alpha + beta is equal to minus b by a

Question

If alpha and beta are the zeros of the polynomial equal to x square + bx + c equal to zero then alpha + beta is equal to minus b by a

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Alexandra 1 month 2021-08-18T13:17:23+00:00 1 Answer 0 views 0

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    2021-08-18T13:19:17+00:00

    Given equation: x

    2

    −ax+b

    2

    =0

    Sum of roots, α+β=a and

    Product of roots, αβ=b 2

    α 2+β 2=(α+β) 2−2αβ

    ⇒α 2 +β 2 =a 2−2b 2

    Hence, B is the correct option.

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