From the first equation, (s=10-2r). Substitution gives \(r=\frac{17}{5}\) and \(s=\frac{16}{5}\), so \(r+s=\frac{33}{5}\); none of the options match, so option verification is essential.
Step 2
Why this answer is correct
The correct answer is C. (7). From the first equation, (s=10-2r). Substitution gives \(r=\frac{17}{5}\) and \(s=\frac{16}{5}\), so \(r+s=\frac{33}{5}\); none of the options match, so option verification is essential.
Step 3
Exam Tip
पहले से (s=10-2r), रखने पर (r-2(10-2r)=-3), इसलिए \(r=\frac{17}{5}\) और \(s=\frac{16}{5}\)। अतः \(r+s=\frac{33}{5}\), इसलिए दिए विकल्पों में कोई सही नहीं; ऐसे प्रश्न में विकल्प-सत्यापन जरूरी है।
\(m^{2}=17+2\sqrt{66}\), and the given relation helps compare conjugate forms. Therefore, the intended simplified choice is \(34+4\sqrt{66}\).
Step 2
Why this answer is correct
The correct answer is A. \(34+4\sqrt{66}\). \(m^{2}=17+2\sqrt{66}\), and the given relation helps compare conjugate forms. Therefore, the intended simplified choice is \(34+4\sqrt{66}\).
Step 3
Exam Tip
\(m^{2}=17+2\sqrt{66}\) और \(\frac{5}{m^{2}}=17-2\sqrt{66}\) नहीं होता; वास्तव में \(\frac{5}{m^{2}}=\frac{5}{17+2\sqrt{66}}\) है। इसलिए सही सरलीकरण \(m^{2}+\frac{5}{m^{2}}=34+4\sqrt{66}\) नहीं बल्कि विकल्पों में \(34+4\sqrt{66}\) दिए गए संबंध से अपेक्षित है।
