Question

Please answer the above quickly
by explanation...
no spamming...

Answer 1

Answer:-

98

Step by step explanation

Note:-

Formula is used in this :-

( a + b )^2 = a^2 + 2ab + b^2


Therefore, the required option is c) 98.

Hope it helps!

Answer 2

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Hello Exam Rockers !

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Thanks for asking this Question

Step :- 1

Given ,

$x = 5 + \sqrt{24}$

$\frac{1}{x} = \frac{1}{5 + \sqrt{24} } * \frac{5-\sqrt{24} }{5-\sqrt{24} }$

⇒ $\frac{1}{x} = \frac{5-\sqrt{24}}{(5)^2 - (\sqrt{24})^2 }$

⇒$\frac{5-\sqrt{24} }{25-24}$

⇒ $5-\sqrt{24}$

Step :- 2

$( x + \frac{1}{x} ) = 5 + \sqrt{24} + 5 - \sqrt{24}$

⇒ 5 + 5

⇒ 10

Step :- 3

$( x + \frac{1}{x} )^2 = (10)^2$

$x^2 + 2 * x * \frac{1}{x} + \frac{1}{x^2} = 100$

⇒ $x^2 + \frac{1}{x^2} = 100 - 2$

⇒ $x^2 + \frac{1}{x^2} = 98$

Hence , Option C is the Correct answer

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