Question

If x + 1/x = 4, then find the value of x2 +1/(x2 ).

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Answer 1

Answer:

This is the correct answer of your question !

Answer 2

—› Question:

$\rm \: If \: x + \frac{1}{x} = 4 \: then \: find \: the \: value \: of \colon$

$\rm \: {x}^{2} + \frac{1}{ {x}^{2} }$

—› Formula Used:

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

—› Solution:

$\rightarrow \rm \: {(x + \frac{1}{ x }) }^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2 \\ \\ \rightarrow \rm \: {(4)}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2 \\ \\ \rightarrow \rm \: 16 - 2 = {x}^{2} + \frac{1}{ {x}^{2} } \\ \\ \rightarrow \rm \: 14 = {x}^{2} + \frac{1}{ {x}^{2} } \\ \\ { \boxed{ \rm{ \therefore \: {x}^{2} + \frac{1}{ {x}^{2} } = 14}}}$

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