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What is the nature of the roots of the equation \(2x^2+8=0\)?समीकरण \(2x^2+8=0\) के मूलों (roots) की प्रकृति क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Imaginary (non-real)काल्पनिक (अ-वास्तविक)
Rewrite \(2x^2+8=0\) as \(x^2+4=0\Rightarrow x^2=-4\). Then \(x=\pm\sqrt{-4}=\pm 2i\), where \(i\) is imaginary. So the roots are imaginary (non-real).\(2x^2+8=0\) को \(x^2+4=0\Rightarrow x^2=-4\) के रूप में लिखिए। तब \(x=\pm\sqrt{-4}=\pm 2i\), जहाँ \(i\) काल्पनिक (imaginary) है। इसलिए मूल काल्पनिक (अ-वास्तविक) हैं।
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