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Subjects
Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationExpertLevel 31
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If both roots of (x^2-10x+m=0) are prime numbers, what is the sum of possible values of (m)?

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Answer and explanation

Correct answer: (42)

The prime pairs with sum (10) are ((3,7)) and ((5,5)). Hence (m=21) or (m=25), and their sum is (46), so option (B) should be correct.

Related tags

Quadratic-RootsPrime-RootsError-Check

Frequently asked questions

What is the correct answer to this question?

(42)

Why is this the correct answer?

The prime pairs with sum (10) are ((3,7)) and ((5,5)). Hence (m=21) or (m=25), and their sum is (46), so option (B) should be correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Roots of a Quadratic Equation.

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