Math, asked by ashritha39, 11 months ago

if x+1/x=5, find the value of x³+1/x³​

Answers

Answered by abbasaadil6
0

Answer :

https://brainly.in/question/4934762

Answered by mysticd
0

 Given \: x + \frac{1}{x} = 5 \: --(1)

/* By Algebraic Identity */

 \boxed{\pink{ a^{3}-b^{3} = (a-b)^{3} - 3ab(a-b)}}

 \red{ Value \:of \: x^{3} + \frac{1}{x^{3} }}

 = \Big( x - \frac{1}{x}\Big)^{3} + 3\times x \times \frac{1}{x} \Big( x - \frac{1}{x}\Big)

 = \Big( x - \frac{1}{x}\Big)^{3} + 3 \Big( x - \frac{1}{x}\Big)

 = 5^{3} + 3 \times 5 \: [ From \: (1) ]

 = 125 + 15

 = 140

Therefore.,

 \red{ Value \:of \: x^{3} + \frac{1}{x^{3} }} \green { = 140 }

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