Question

if X=1/(5+2√6) then X^2-10X+1​

Answer 1

$x = \frac{1}{5 + 2 \sqrt{6} }$

$\frac{5 - 2 \sqrt{6} }{(5 + 2 \sqrt{6)} (5 - 2 \sqrt{6)} }$

$\frac{5 - 2 \sqrt{6} }{25 - 24} = 5 - 2 \sqrt{6} = x$

putting the value of x in equation

${(5 - 2 \sqrt{6)} }^{2} - 10(5 - 2 \sqrt{6)} + 1$

$= 25 + 24 - 20 \sqrt{6} - 50 + 20 \sqrt{6} + 1$

$= 40 \sqrt{6}$

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Answer 2

Answer:

Thank you and have a nice day