SOLUTION: if x^2 + 1/x^2 =4 , then find the value of x^3 + 1/x^3
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Question 577760: if x^2 + 1/x^2 =4 , then find the value of x^3 + 1/x^3
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Note that
^2 - 2 = 4)
^2 = 6 \Rightarrow x + \frac{1}{x} = \pm \sqrt{6})
Consider the equation
(x + \frac{1}{x}) = \pm 4 \sqrt{6})
We know that if x + 1/x is sqrt(6), then we will have
If x + 1/x = -sqrt(6) then we have
Either of these can be correct.
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