Math, asked by mufiahmotors, 3 months ago

if x^2 + 1 / x^2 = 7 , find the value of x^3 + 1/ x^3​

Answers

Answered by IshitwaBhai
2

Answer:

Acceleration, rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down. ... Acceleration is defined as the change in the velocity vector in a time interval, divided by the time interval.

Step-by-step explanation:

♤Ishitwabhai♤

Answered by brainlyanswerer83
41

Answer:

→ Hey Mate,

Given Question :  if x^{2}  + \frac{1}{x^{2} } , =7, Find the value of x^{3} + \frac{1}{x^{3} }

Step-by-step explanation:

Solution : we have ,

→     ( x+ \frac{1}{x} )² = x² + \frac{1}{x^2} + 2 ×

→    ( x + \frac{1}{x} ) ² = x²  + \frac{1}{x^2} + 2

→  ( x + \frac{1}{x} )^2 = 7 + 2                              [ putting x^2 + \frac{1}{x^2} = 7 ]

→  ( x + \frac{1}{x^2} ) ^2 = 9

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

x + \frac{1}{x} = 3

( x + \frac{1}{x} )^3 = 3 ^3              [ Taking square root of both sides]

x^3 + \frac{1}{x^3} + 3 ( x + \frac{1}{x} ) = 27         [ cubing both sides ]

( x^3 + \frac{1}{x^3} + 3 × 3 = 27

x^3 + \frac{1}{x^3} = 27 - 9

x^3 + \frac{1}{x^3}  = 18

→ Final answer is 18 .

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