If alpha and beta are the zeros of 2x square+5x-10, then find the value alpha square + beta square
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2x²+5x-10=0
Sum of zeroes
=α+β =-b/a
=-5/2
Product of zeroes
=αβ =c/a
=-10/2
=-5
(α+β)²=α²+β²+2αβ
(-5/2)²=α²+β²+2(-5)
α²+β²=25/4-10
=(25-40)/4
=-15/4
Therefore, α²+β² = -15/4
Hope it helps:)
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