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Class 9 Mathematics Exploring Algebraic Identities Quadratic expressionsHardLevel 74

If (x+\frac{2}{x}=6), what is the value of (x^2+\frac{4}{x^2})?

Answer and explanation

Correct answer: (32)

Squaring gives (x^2+4+\frac{4}{x^2}=36), so the value is (32). Exam tip: subtract the (2ab) term (4).

Tags

reciprocal identityquadratic expressionvalue

Frequently asked questions

What is the correct answer to this question?

(32)

Why is this the correct answer?

Squaring gives (x^2+4+\frac{4}{x^2}=36), so the value is (32). Exam tip: subtract the (2ab) term (4).

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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