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Class 9MathematicsExploring Algebraic IdentitiesQuadratic expressionsMediumLevel 73
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If (9x^2+mx+25) is a perfect square and the middle term is positive, what is the value of (m)?

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Answer and explanation

Correct answer: (30)

(9x^2=(3x)^2) and (25=5^2), so the middle term will be (2\cdot3x\cdot5=30x). Exam tip: take the roots of both square terms and multiply twice.

Related tags

Unknown CoefficientPerfect SquareQuadratic Expression

Frequently asked questions

What is the correct answer to this question?

(30)

Why is this the correct answer?

(9x^2=(3x)^2) and (25=5^2), so the middle term will be (2\cdot3x\cdot5=30x). Exam tip: take the roots of both square terms and multiply twice.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.

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  8. 8Under which condition can the quadratic trinomial \(x^2+px+q\) be classified as a perfect-square trinomial?
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