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If , be the zeros of the quadratic polynomial 2x^2+5x+1, then

Question

If $α, β$ be the zeros of the quadratic polynomial $2 x^{2} + 5 x + 1$ , then the value of $α + β + α β =$

-2

-1

none of these

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Theodore Discussed

α, β

be the zeros of the quadratic polynomial

2 x^{2} + 5 x + 1

, then the value of

α + β + α β =

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

We know that equation $a x^{2} + b x + c = 0$

Then sum of roots $= \frac{- b}{a}$ and product of roots $= \frac{c}{a}$

Let

α, β

are the zeros of the quadratic equation.

Therefore,

α + β = - \frac{5}{2}

and

α β = \frac{1}{2}

Now,

α + β + α β = - \frac{5}{2} + \frac{1}{2}

= \frac{- 4}{2}

= - 2

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Question Text	If $α, β$ be the zeros of the quadratic polynomial $2 x^{2} + 5 x + 1$ , then the value of $α + β + α β =$
Answer Type	Text solution:1
Upvotes	150