Question

Helena is thinking of a number. That number raised to the third power is 100 greater than when it is raised to the second number. What is the number Helena thinking about

Answer 1

Explanation:

Let the number = x

x^3 = x^2 + 100

x^3 - x^2 +0x - 100 =0

a = 1

b = - 1

c = 0

d = -100

My calculator solves these kinds of questions. The answer is

x1 = 5 Which we should be able to get without a special calculator

x2=-2+4i

x3 = - 2 - 4i

I doubt you need anything more than 5. If she is thinking of the complex numbers, she should be in a special class for people who think about such things

Here is a graph of the problem.