कौन सा विकल्प \(x=\sqrt{2}+\sqrt{3}\) के लिए सही द्विघात समीकरण है?
Which option is a correct quadratic equation for \(x=\sqrt{2}+\sqrt{3}\)?
Explanation opens after your attempt
Correct Answer
A. \(x^2-10x^0+1=0\)
Concept
Actually \(x=\sqrt{2}+\sqrt{3}\) satisfies \(x^4-10x^2+1=0\), not a simple quadratic here. Read powers carefully in such trick questions.
Why this answer is correct
The correct answer is A. \(x^2-10x^0+1=0\). Actually \(x=\sqrt{2}+\sqrt{3}\) satisfies \(x^4-10x^2+1=0\), not a simple quadratic here. Read powers carefully in such trick questions.
Exam Tip
\(x^2=5+2\sqrt{6}\) और संयुग्मी के साथ गुणन से \(x^4-10x^2+1=0\) मिलता है। दिए विकल्प में \(x^0=1\) इसलिए पहला रूप सही नहीं दिखता, ध्यान से पढ़ें।
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