Math, asked by beast57, 8 months ago

if X + 1/X = 5 then find the value of root X + 1/root X​

Answers

Answered by mailkevinneil07
1

Answer:

rational number is in the form of p/q form where q is not equal to zero

in easier way it is a fraction where denominator should not be zero

I DIDNT COPY PASTE THIS PLS MARK BRAINLY

Answered by kts182007
1

Answer:

(\sqrt{x} +\frac{1}{\sqrt{x} } ) = ± √7

Step-by-step explanation:

x + \frac{1}{x} = 5\\\\-----\\\\Now,\\\\(a+b)^2 = a^2 + 2ab+b^2\\\\=(\sqrt{x} +\frac{1}{\sqrt{x} } )^2 = (\sqrt{x})^2 + 2(\sqrt{x})(\frac{1}{\sqrt{x} }) + (\frac{1}{\sqrt{x} }) ^2\\\\(\sqrt{x} +\frac{1}{\sqrt{x} } )^2 = x + \frac{1}{x} + 2\\\\Given, x + \frac{1}{x} = 5\\\\So,\\\\(\sqrt{x} +\frac{1}{\sqrt{x} } )^2 = 5 +2\\\\(\sqrt{x} +\frac{1}{\sqrt{x} } )^2 = 7\\\\(\sqrt{x} +\frac{1}{\sqrt{x} } ) = [+-]\sqrt{7}

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