Question

if x - 1/x=30 find the value of x2+1/x2​

Answer 1

Answer:

902

Step-by-step explanation:

$x - \frac{1}{x} = 30 \\ = > ({x - \frac{1}{x}) }^{2} = {30}^{2} \\ = > {x}^{2} + ( { \frac{1}{x} )}^{2} - 2 \times x \times \frac{1}{x} = 900 \\ = > {x}^{2} + \frac{1}{ {x}^{2} } - 2 = 900 \\ = > {x}^{2} + \frac{1}{ {x}^{2} } = 900 + 2 = 902$

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