Math, asked by amrit594, 10 months ago

(x+1/x)=4 then x³+1/x³​

Answers

Answered by kailashmeena123rm
5

ANSWER

(x+1/x) ^3= x^3+1/x^3+3(x+1/x)

which implies that

x^3+1/x^3 = 4^3-3(4)

= 64-12 = 52

hope it helps

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Answered by Cynefin
1

Answer:

Hey mate, Good evening ❤

#Here's ur answer..☆☆☆

Step-by-step explanation:

 \boxed{ \orange{ \huge{ answer}}}

 \bold{ \red{given \:  \: x +  \frac{1}{x} = 4}} \\  =  > (x +  \frac{1}{x}  ) {}^{2}  = 16 \\  =  >  {x}^{2}  +  ({ \frac{1}{x} })^{2}  + 2 = 16 \\  =  > x {}^{2}  +  \frac{1}{ {x}^{2} }  = 14 \\   \\ \bold{ \green{to \: find... {x}^{3}  +  \frac{1}{ {x}^{3} } }} \\  = (x +  \frac{1}{x} )( {x}^{2}  +  \frac{1}{ {x}^{2} }  - 1) \\  = 4(14 - 1) \\  = 4(13) \\  =  \bold{ \pink{52}} \: ( \blue{answer})

➡️Hope this helps you..

➡️Pls mark as brainliest..

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