Quadratic equation sum of roots

Algebra Level 3

What is the sum of the two roots of the quadratic equation x 2 + 34 x + 251 = 0 x^2+34x+251=0 ? If it's not an integer, answer -1.


The answer is -34.

Phoenix M. by Phoenix M. , 14, USA

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2 solutions

Mahdi Raza
Aug 1, 2020

Direct application of Vieta's formula.

x 1 + x 2 = − b a = − 34 x_{1} + x_{2} = - \dfrac{b}{a} = \boxed{-34}

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Applying Vieta's formula, sum of the roots of the given equation is − 34 1 = − 34 -\dfrac {34}{1}=-34 .

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