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What is the discriminant \(D\) of the quadratic equation \(2x^2-3x+1=0\)?द्विघात समीकरण \(2x^2-3x+1=0\) का विविक्तकर \(D\) कितना है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 11
For a quadratic equation \(ax^2+bx+c=0\), the discriminant is \(D=b^2-4ac\). Here, \(a=2\), \(b=-3\), and \(c=1\), so \(D=(-3)^2-4(2)(1)=9-8=1\). Therefore, the correct answer is 1. In exams, be careful to square the negative value of \(b\) correctly.द्विघात समीकरण \(ax^2+bx+c=0\) के लिए विविक्तकर का सूत्र \(D=b^2-4ac\) है। यहाँ \(a=2\), \(b=-3\) और \(c=1\), इसलिए \(D=(-3)^2-4(2)(1)=9-8=1\)। अतः सही उत्तर 1 है। परीक्षा में \(b\) के ऋणात्मक चिह्न को वर्ग करते समय सावधानी रखें।
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