{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2025-05-20T09:36:11.636Z","dateModified":"2025-05-20T11:25:33.715Z","typicalAgeRange":"11-18","educationalLevel":"CUET (UG)","assesses":"General Aptitude - Simplification","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Simplification"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"General Aptitude"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"CUET (UG)"}],"name":"Quiz about Simplification","about":{"@type":"Thing","name":"General Aptitude - Simplification"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Simplification","text":"If x + 1/x = 5, what is the value of x² + 1/x²?}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"\"\""},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

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","comment":{"@type":"Comment","text":"\"\""},"answerExplanation":{"@type":"comment","text":"We are given: \\[ x + \\frac{1}{x} = 5 \\] Now square both sides: \\[ \\left(x + \\frac{1}{x}\\right)^2 = 5^2 = 25 \\] Using the identity: \\[ \\left(x + \\frac{1}{x}\\right)^2 = x^2 + \\frac{1}{x^2} + 2 \\] So, \\[ x^2 + \\frac{1}{x^2} = 25 - 2 = \\boxed{23} \\]"}}}]}

If x + 1/x = 5, what is the value of x² + 1/x²?

The Correct Option is B

Solution and Explanation

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