Question

if alpha and beta are the zeroes of the polynomial p(x) =x2-7x+12 then find the value of 1/alpha +1/beta

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Answer 1

Answer:

α and β  are  zeroes of  polynomial  x² - 7 x + 12

    αβ =  12      the product of the roots  is the  constant term

  α + β = 7      the sum of the roots is the  coefficient of x term , negated.

1/α + 1/β + 2 αβ

    =  (α + β) / αβ  +  2 αβ

    =  12 / 7 + 2 *  12  =  24 + 12/7  =  180/7

Step-by-step explanation:

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