Question
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Answer (Detailed Solution Below)
Option 2 : 110 / 110
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Detailed Solution
सही उत्तर 110 / 110 है।
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prepsnap.in • Part -AQuestion:
Given that $x + \frac{1}{x} = 5$, compute the value of $x^3 + \frac{1}{x^3}$: / दिया गया है कि $x + \frac{1}{x} = 5$, $x^3 + \frac{1}{x^3}$ के मान की गणना कीजिए:
1.
125 / 125
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110 / 110
3.
115 / 115
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95 / 95
Correct Answer: 110 / 110
$x^3 + \frac{1}{x^3} = \left(x + \frac{1}{x}\right)^3 - 3\left(x + \frac{1}{x}\right) = 125 - 15 = 110$. (The trap answer $125$ forgets the $-3(x + 1/x)$ correction.) / $x^3 + \frac{1}{x^3} = \left(x + \frac{1}{x}\right)^3 - 3\left(x + \frac{1}{x}\right) = 110$।
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