Math, asked by chiranjeeva40, 1 year ago

X-1/x=4 then x+1/×=
It's answer is 2 root 5 but I need it's solution.

Answers

Answered by vyshu35
1
X-1/X=4
X+1/X=(x-1/X)^2+2
X+1/X=4×4+2
X+1/X=16+2
X+1/X=18

vyshu35: please mark it as brainliests answer
Vedant250204: it is wrong
Answered by Vedant250204
4
THANKS FOR THE QUESTION
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x -  \frac{1}{x}  = 4
squaring both sides we get,
 {x}^{2}  +  \frac{1}{ {x}^{2} }   -  2 =  {4}^{2}
 {x}^{2}  +  \frac{1}{ {x}^{2} }    + 2 = 20
 {(x +  \frac{1}{x} )}^{2}  =  \sqrt{20}
x +  \frac{1}{x}  = 2 \sqrt{5}


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