What is a good estimate for the solution to the equation x3 =95? How did you come up with your estimate

Answer 1

if the problem is x³ = 95 your calculator tells you that one solution is 4.5629

Then you can divide x - 4.5629 into x³ - 95 to get x² + 4.5629x + 20.82 using the quadratic equation, you get -2.28145 +- 3.95158i (2 complex roots)

If you are trying to get the real root without a calculator, you could, you could use Newton's Iterative method to find it (If you are in a Calculus class?)

It is unclear exactly how you would want to go about getting the roots.... whether you want all 3 or just the real root?