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

ConceptSolutions of Quadratic Equations by Factorization

#### 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 betabe the roots of quadratic equationx^2 + ax + 3 =0in 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.
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