Question
Download Solution PDF\(\frac{\left(17\right) ^{3}+\left( 7\right) ^{3}}{(17^{2}+7^{2}-k)} =24, \) எனில் k இன் மதிப்பு என்ன?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
\(\frac{\left(17\right) ^{3}+\left( 7\right) ^{3}}{(17^{2}+7^{2}-k)} =24\)
பயன்படுத்தப்பட்ட கருத்து:
a 3 + b 3 = (a + b)(a2 + b2 - ab)
கணக்கீடு:
\(\frac{\left(17\right) ^{3}+\left( 7\right) ^{3}}{(17^{2}+7^{2}-k)} =24\)
\(\frac{(17+7)(17^{2}+7^{2}-7\times17)}{(17^{2}+7^{2}-k)} =24\)
⇒ \(\frac{(17^{2}+7^{2}-119)}{(17^{2}+7^{2}-k)} =1\)
⇒ 172 + 72 - 119 = 172 + 72 - k
⇒ k = 119
∴ k இன் மதிப்பு 119.
Last updated on Jul 8, 2025
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