If $x^{11}-rac1{x^{11}}=2 ext{ extbraceleft} ext{2} ext{ extbraceright} ext{ extbraceleft} ext{15} ext{ extbraceright}$ then what is $x^{11}+rac1{x^{11}}$?

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$x^{11}-\frac1{x^{11}}=2\sqrt{15}$ ആയാൽ $x^{11}+\frac1{x^{11}}$ എത്ര?

C16

D12

Answer:

$x^{11}-1/x^{11}=K$

$\because(a+b)^2=(a-b)^2+4ab$

$\implies{x^{11}+1/x^{11}}=\sqrt{K^2+4}$

$=\sqrt{({2\sqrt{15})^2+4}}$

$=\sqrt{60+4}=\sqrt{64}=8$

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