#### Question

If one of the equation x^{2} + 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?

#### APPEARS IN

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