A. \(p\leq -7\) या \(p\geq7\)/\(p\leq -7\) or \(p\geq7\)
Step 1
Concept
For real roots, \(D\geq0\) is required. Here \(4p^2-196\geq0\), so \(p\leq-7\) or \(p\geq7\).
Step 2
Why this answer is correct
The correct answer is A. \(p\leq -7\) या \(p\geq7\) / \(p\leq -7\) or \(p\geq7\). For real roots, \(D\geq0\) is required. Here \(4p^2-196\geq0\), so \(p\leq-7\) or \(p\geq7\).
Step 3
Exam Tip
वास्तविक मूलों के लिए \(D\geq0\) होना चाहिए। यहाँ \(4p^2-196\geq0\), इसलिए \(p\leq-7\) या \(p\geq7\)।
A. \(p\leq -6\) या \(p\geq6\)/\(p\leq -6\) or \(p\geq6\)
Step 1
Concept
For real roots, \(D\geq0\) is required. Here \(4p^2-144\geq0\), so \(p\leq-6\) or \(p\geq6\).
Step 2
Why this answer is correct
The correct answer is A. \(p\leq -6\) या \(p\geq6\) / \(p\leq -6\) or \(p\geq6\). For real roots, \(D\geq0\) is required. Here \(4p^2-144\geq0\), so \(p\leq-6\) or \(p\geq6\).
Step 3
Exam Tip
वास्तविक मूलों के लिए \(D\geq0\) होना चाहिए। यहाँ \(4p^2-144\geq0\), इसलिए \(p\leq-6\) या \(p\geq6\)।
A. \(p\leq -5\) या \(p\geq5\)/\(p\leq -5\) or \(p\geq5\)
Step 1
Concept
For real roots, \(D\geq0\) is needed. Here \(4p^2-100\geq0\), so \(p\leq-5\) or \(p\geq5\).
Step 2
Why this answer is correct
The correct answer is A. \(p\leq -5\) या \(p\geq5\) / \(p\leq -5\) or \(p\geq5\). For real roots, \(D\geq0\) is needed. Here \(4p^2-100\geq0\), so \(p\leq-5\) or \(p\geq5\).
Step 3
Exam Tip
वास्तविक मूलों के लिए \(D\geq0\) चाहिए। यहाँ \(4p^2-100\geq0\), इसलिए \(p\leq-5\) या \(p\geq5\)।
A. \(k\leq -4\) या \(k\geq 4\)/\(k\leq -4\) or \(k\geq 4\)
Step 1
Concept
For real roots, \(D\geq0\) is needed. Here \(4k^2-64\geq0\), so \(k\leq-4\) or \(k\geq4\).
Step 2
Why this answer is correct
The correct answer is A. \(k\leq -4\) या \(k\geq 4\) / \(k\leq -4\) or \(k\geq 4\). For real roots, \(D\geq0\) is needed. Here \(4k^2-64\geq0\), so \(k\leq-4\) or \(k\geq4\).
Step 3
Exam Tip
वास्तविक मूलों के लिए \(D\geq0\) चाहिए। यहाँ \(4k^2-64\geq0\), इसलिए \(k\leq-4\) या \(k\geq4\)।
A. \(k\leq -3\) या \(k\geq 3\)/\(k\leq -3\) or \(k\geq 3\)
Step 1
Concept
For real roots, \(D\geq0\) is needed. Here \(4k^2-36\geq0\), so \(k\leq-3\) or \(k\geq3\).
Step 2
Why this answer is correct
The correct answer is A. \(k\leq -3\) या \(k\geq 3\) / \(k\leq -3\) or \(k\geq 3\). For real roots, \(D\geq0\) is needed. Here \(4k^2-36\geq0\), so \(k\leq-3\) or \(k\geq3\).
Step 3
Exam Tip
वास्तविक मूलों के लिए \(D\geq0\) चाहिए। यहाँ \(4k^2-36\geq0\), इसलिए \(k\leq-3\) या \(k\geq3\)।
