Question

If alpha and beta zeroes of the polynomial P of x =xsqare_5x+6,then the value of alpha _beta whole squa
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Answer 1

Answer:

Hello ! It's 25.

Explanation:

    p(x) = x²-5x+6

    x²-5x+6 = 0

or, x²-3x-2x+6 = 0

or, x(x-3) -2(x-3) = 0

or, (x-3) (x-2) = 0

                    Either, x-3 = 0         |   Or, x-2 = 0

                           ⇒ x = 3             |     ⇒ x = 2

                             α = 3               |         β = 2

So, the value of (α+β)² is

 =   (3+2)²

 = (5)² = 25

Hope, it will help you......