Question

if x^2+1/x^2=7 find the value of x+1/x​

Answer 1

Answer:

hi rey ,

good evening

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Step-by-step explanation:

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Answer 2

Answer:

Here is your answer mate,

Step-by-step explanation:

Question,

if x^2+1/x^2=7 find the value of x+1/x

Answer,

Formula

• (a+b)² = a² + b² + 2 a b

Given,

${x}^{2} + \frac{1}{ {x}^{2} } = 7$

Solution,

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

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

${(x + \frac{1}{x} )}^{2} = 7 + 2$

$({x + \frac{1}{x} )}^{2} = 9$

${(x + \frac{1}{x} )}^{2} = {3}^{2} or {( - 3)}^{2}$

${(x + \frac{1}{x}) } = \sqrt{ {3}^{2} } or \sqrt{ {( - 3)}^{2} }$

$( x + \frac{1}{x} ) = 3 \: and \: - 3$

Value of x+1/x is 3, - 3

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