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What is the nature of the roots of the equation \(3x^2+10x+3=0\)?समीकरण \(3x^2+10x+3=0\) के मूलों (roots) की प्रकृति क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Two distinct real rootsदो भिन्न वास्तविक मूल
For \(3x^2+10x+3=0\), \(a=3\), \(b=10\), \(c=3\). The discriminant is \(D=b^2-4ac=10^2-4(3)(3)=100-36=64\). Since \(D>0\), the quadratic has two distinct real roots.समीकरण \(3x^2+10x+3=0\) में \(a=3\), \(b=10\), \(c=3\) है। विभेदक \(D=b^2-4ac=10^2-4(3)(3)=100-36=64\) है। क्योंकि \(D>0\) है, इसलिए द्विघात समीकरण के दो भिन्न वास्तविक मूल होते हैं।
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