Question

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

Answer 1

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♤

Answer 2

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 .

------------------------------------------------------------------------