Question

find x+1/x if x²+1/x² = 62

Answer 1

Answer:

8

Step-by-step explanation:

${x}^{2} + \frac{1}{ {x}^{2} } = 62$

Adding 2 on both sides,

${x}^{2} + \frac{1}{ {x}^{2} } + 2 = 62 + 2$

${x}^{2} + \frac{1}{ {x}^{2} } + 2 = 64$

Using Identity,

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

${(x + \frac{1}{x}) }^{2} = {8}^{2}$

Square root on both sides,

$(x + \frac{1}{x} ) = 8$

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