Question

ifα,β are the zeros if the quadratic polynomial x square +5x -10 then find the values of αsquare+β square
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Answer 1

Answer:

p(x) = x²+5x-10

let alpha and beta be zeroes of thr given polynomial.

alpha + beta= -b/a

alpha + beta = -5/1_______ (1)

alpha * beta =c/a

alpha * beta °-10_______ (2)

Now to find,

alpha sq + beta sq

= (alpha+ beta)² - 2*alpha* beta

= (-5)² - 2*-10

=25+20

=45

this is the required answer..

Answer 2

Answer:    45

Step-by-step explanation:

x^2 + 5x -10 = 0

=> α+β= -b/a = -5

α*β = c/a = -10...

α^2+β^2= (α+β)^2- 2α*β

=(-5)^2 - 2*-10 = 25+ 20 = 45//