Question

find x^2+1/x^2 if x-1/x =4​

Answer 1

$\bold\green{\underline{Question}}$

$if x - \frac{1}{x} =4 \: than \: find \: {x}^{2} + \frac{1}{ {x}^{2} }$

$\bold\green{\underline{\underline{:SOLUTION:}}}$

• Here, squaring on both sides

$↪(x - \frac{1}{x} ) {}^{2} = {4}^{2} \\ \\ ↪ {x}^{2} - 2 \times x \times \frac{1}{x} + \frac{1}{ {x}^{2} } = 16 \\ \\ ↪ {x}^{2} - 2 + \frac{1}{ {x}^{2} } = 18 \\ \\ ↪ {x}^{2} + \frac{1}{ {x}^{2} } = 16 + 2 \\ \\ ↪ {x}^{2} + \frac{1}{ {x}^{2} } = 18$

Hence,

• the value of x²+1/x²=18

Answer 2

Answer:

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