Question

If α, β are the zeros of the polynomial 2y² + 7y + 5, write the value of α + β + αβ.

Answer 1

$\bf\large\underline\pink{Solution:-}$

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$\bf\large\underline\green{Step by Step Explanation:-}$

2y² + 7y + 5 = 0

Here a = 2 , b = 7 , c = 5

α,β are 2 zeroes

So sum of the zeroes = α + β = - b/ca= -7/2

Product of zeroes = αβ = c/a = 5/2

Now just put the values

α + β + αβ = ( α + β) + αβ

= -7/2 + 5/2

= -2/2 = -1

So required answer is -1

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Answer 2

$\huge\star\mathfrak\green{{Answer:-}}$

2y² + 7y + 5 = 0

Here a = 2 , b = 7 , c = 5

α,β are 2 zeroes

So sum of the zeroes = α + β = - b/ca= -7/2

Product of zeroes = αβ = c/a = 5/2

Now just put the values

α + β + αβ = ( α + β) + αβ

= -7/2 + 5/2

= -2/2 = -1

So required answer is -1