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If One of the Equation X2 + Ax + 3 = 0 is 1, Then Its Other Root is - CBSE Class 10 - Mathematics

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Question

If one of the equation x2 + ax + 3 = 0 is 1, then its other root is

  • 3

  • -3

  • 2

  • 1

Solution

Let `alpha and beta`be the roots of quadratic equation`x^2 + ax + 3 =0`in such a way that  `alpha = 1`

Here, a = 1, b = a and ,c = 3

Then , according to question sum of the roots

`alpha + beta = (-b)/ a`

`1 + beta = (-a)/1`

 `beta = -a -1`

And the product of the roots

`alpha . beta = 3/1`

`1 xx beta = 3`

 `beta = 3`

Therefore, value of other root be `beta = 3`.

  Is there an error in this question or solution?

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Solution If One of the Equation X2 + Ax + 3 = 0 is 1, Then Its Other Root is Concept: Solutions of Quadratic Equations by Factorization.
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