{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2026-07-08T14:06:52.311Z","dateModified":"2026-07-08T14:06:52.311Z","typicalAgeRange":"11-18","educationalLevel":"NMAT","assesses":"Quantitative Aptitude - Equations","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Equations"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Quantitative Aptitude"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"NMAT"}],"name":"Quiz about Equations","about":{"@type":"Thing","name":"Quantitative Aptitude - Equations"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Equations","text":"If $$x + \\dfrac{1}{x} = 4$$, then what is the value of $$x^2 + \\dfrac{1}{x^2}$$?}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"Square the given expression; the cross term is 2."},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

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","comment":{"@type":"Comment","text":"Square the given expression; the cross term is 2."},"answerExplanation":{"@type":"comment","text":"Use the identity $x^2 + \\dfrac{1}{x^2} = \\left(x + \\dfrac{1}{x}\\right)^2 - 2 = 4^2 - 2 = 16 - 2 = 14.$"}}}]}

If \(x + \dfrac{1}{x} = 4\), then what is the value of \(x^2 + \dfrac{1}{x^2}\)?

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The Correct Option is D

Solution and Explanation

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