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Which condition is correct for real roots of (x^2+2(k+1)x+k+5=0)?समीकरण (x^2+2(k+1)x+k+5=0) के वास्तविक मूलों के लिए कौन सी शर्त सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (k\leq-3) or (k\geq1)(k\leq-3) या (k\geq1)
Here (D=4(k+1)^2-4(k+5)). (D\geq0) gives (k^2+k-4\geq0), so solve the resulting inequality carefully.यहाँ (D=4(k+1)^2-4(k+5)) है। (D\geq0) से (k^2+k-4\geq0) नहीं, सही सरल रूप (k^2+k-4\geq0) देता है।
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