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Standard X

Mathematics

Factor Theorem

If α, β are...

Question

If $α, β$ are the roots of the quadratic equation $a x^{2} + b x + c = 0$ , such that $a = 3, b = 6$ and $c = 4$ , then find the value of $α + β$ .

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Solution

In the given quadratic equation $a = 3, b = 6$ and $c = 4$
Let $α$ and $β$ be the roots of given quadratic equation.
$∴ α + β = \frac{- b}{a} = \frac{- 6}{3} = - 2$
The value of $α + β = - 2$ .

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If α,β are the roots of the quadratic equation ax2+bx+c=0, such that a=3,b=6 and c=4, then find the value of α+β.

In the given quadratic equation a=3,b=6 and c=4Let α and β be the roots of given quadratic equation.∴α+β=−ba=−63=−2The value of α+β=−2.

If $α, β$ are the roots of the quadratic equation $a x^{2} + b x + c = 0$ , such that $a = 3, b = 6$ and $c = 4$ , then find the value of $α + β$ .

In the given quadratic equation $a = 3, b = 6$ and $c = 4$
Let $α$ and $β$ be the roots of given quadratic equation.
$∴ α + β = \frac{- b}{a} = \frac{- 6}{3} = - 2$
The value of $α + β = - 2$ .