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# A Quadratic Equation Whose One Root is 2 and the Sum of Whose Roots is Zero, is - CBSE Class 10 - Mathematics

ConceptSolutions of Quadratic Equations by Factorization

#### Question

A quadratic equation whose one root is 2 and the sum of whose roots is zero, is

• x2 + 4 = 0

• x2 − 4 = 0

•  4x2 − 1 = 0

• x2 − 2 = 0

#### Solution

Let alpha and beta  be the roots of quadratic equation in such a way that a = 2

Then, according to question sum of the roots

alpha + beta = 0

2 + beta = 0

beta = -2

And the product of the roots

alpha . beta = 2 xx (-2)

= - 4

As we know that the quadratic equation

x^2 - (alpha + beta) x + alpha beta = 0

Putting the value of alpha and beta in above

Therefore, the require equation be

x^2 - 0 xx x + (-4) = 0

x^2 - 4 = 0

Is there an error in this question or solution?

#### APPEARS IN

Solution A Quadratic Equation Whose One Root is 2 and the Sum of Whose Roots is Zero, is Concept: Solutions of Quadratic Equations by Factorization.
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