Question

if x+1/x=5 find x4+1/ x4​

Answer 1

Answer:

20

Step-by-step explanation:

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Answer 2

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

if x+1/x=5 find x4+1/ x4

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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Formula:

$\bold{\boxed{ {(x + y)}^{4} = {x}^{4} + 4 {x}^{3} y + 6 {x}^{2} {y}^{2} + 4x {y}^{3} + {y}^{4}}}$

$= > {x}^{4} + 4 {\cancel{{x}^{3} }} \times \frac{1}{\cancel{{x} }}+ 6 {\cancel{{x}^{2} }} \times \frac{1}{ {\cancel{{x}^{2} }}} + 4{\cancel{x}} \times \frac{1}{{\cancel{ {x}^{3} }}} + { (\frac{1}{x}) }^{4} = 625$

$= > {x}^{4} + 4 {\cancel{{x}^{2}}} + 6 + \frac{4}{{\cancel{ {x}^{2} }}} + \frac{1}{ {x}^{4} } = 625$

$= > {x}^{4} + 10 + 4 + \frac{1}{ {x}^{4} } = 625$

$= > {x}^{4} + \frac{1}{ {x}^{4} } + 14 = 625$

$= > {x}^{4} + \frac{1}{ {x}^{4} } = 611$

$\huge\mathcal{Learn\:more:}$

$\bold{\boxed{ {(x + y)}^{3} = {x}^{3} + {y}^{3} +3xy(x+y)}}$

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

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