Calculating the square root of something is the same as raising it to the power of 12. Calculating a cube root is the same as raising to the power of 13.
x=0, 1, and 9
Practice makes perfect
To solve the given equation by graphing, we first will create functions from the equation's left-hand and right-hand side.
y=sqrt((x-1)) and y=sqrt((x))-1
To draw the graphs on your calculator, push Y= and write the functions in the two first rows. Note that a square root is the same as raising to the power of 12. However, we can also use the calculator's sqrt()-symbol by pushing 2nd and x^2. To write a cube root, push MATH and select the fourth option.
With our functions entered, push GRAPH to draw them.
Examining the diagram, it looks like the graphs intersect at least twice. However, let's resize the window by pushing WINDOW and changing the settings so our graph is more easily seen.
We can see that there are three points of intersection. To find them we can use the intersect option. Push 2nd and TRACE, then choose the list's fifth option. Now we have to select the two graphs and provide the calculator with a guess of where the first intersection might be. We will have to repeat this process for each intersection.
