Question

If x - 1/ x = under root 3, then x^2 + 1/x^2 equals ?

Answer 1

Answer:

$x^{2}+\frac{1}{x^{2}}=5$

Step-by-step explanation:

$Given \: x-\frac{1}{x}=\sqrt{3}\:---(1)$

\* we know the algebraic identity:

a²+b²=(a-b)²+2ab */

$Now,\\x^{2}+\frac{1}{x^{2}}\\=\left(x-\frac{1}{x}\right)^{2}+2\times x\times \frac{1}{x}$

$=\left(\sqrt{3}\right)^{2}+2\\=3+2\\=5$

Therefore,

$x^{2}+\frac{1}{x^{2}}=5$

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Answer 2

Answer:

Step-by-step explanation:

hope it helps