Math, asked by fawaz6560, 10 months ago

x = 4+ root 15 then find (x + 1/x)^2 say fast urgent

Answers

Answered by sabita001
1

x=4+√15=7.89

Now,

(x+1/x)^2

=(7.89+1/7.89)^2

=64.27


fawaz6560: explanation can u give
fawaz6560: brainliest
Answered by antareepray2
0

As x = 4 + root 15; then,

 {( \frac{x + 1}{x} )}^{2}  \\  =  {( \frac{4 +  \sqrt{15} + 1 }{4 +  \sqrt{15} }) }^{2}  \\  =  \frac{25 + 10 \sqrt{15}  + 15}{16 + 8 \sqrt{15}  + 15}  \\  =  \frac{40 + 10 \sqrt{15} }{31 + 8 \sqrt{15} }  \\  = 40 - 10 \sqrt{15}

HOPE THIS COULD HELP!!!

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