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Class 9MathematicsExploring Algebraic IdentitiesQuadratic expressionsHard
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If (x-\frac{1}{x}=4), what is the value of (x^2+\frac{1}{x^2})?

Answer and explanation

Correct answer: (18)

Squaring gives (x^2-2+\frac{1}{x^2}=16), so (x^2+\frac{1}{x^2}=18). Exam tip: add (2) in the subtraction identity.

Related tags

Reciprocal IdentityQuadratic ExpressionValueQuadratic ExpressionsExploring Algebraic IdentitiesMathematicsClass 9 Mcq
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