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Which condition is correct for real roots in (3x^2+(2k-1)x+1=0)?समीकरण (3x^2+(2k-1)x+1=0) में वास्तविक मूलों के लिए सही शर्त कौन सी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (k\leq\frac{1-2\sqrt{3}}{2}) or (k\geq\frac{1+2\sqrt{3}}{2})(k\leq\frac{1-2\sqrt{3}}{2}) या (k\geq\frac{1+2\sqrt{3}}{2})
For real roots, ((2k-1)^2-12\geq0) is needed. Hence (2k-1\leq-2\sqrt{3}) or (2k-1\geq2\sqrt{3}).वास्तविक मूलों के लिए ((2k-1)^2-12\geq0) चाहिए। इसलिए (2k-1\leq-2\sqrt{3}) या (2k-1\geq2\sqrt{3})।
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