Having rewritten the equation in standard form, we can enter it in the calculator by pushing Y= and typing it in the first row.
Next, by pushing 2ND and GRAPH, we get a table of values for whole number inputs of x. We are looking for x-values that make the y-column equal 0.
From the table, we see that the function decreases at first and starts increasing somewhere between x=0 and x=2. If the equation has any solutions, they should be between x=0 and x=2. To find these exact values, we will need to view smaller increments in the table. To change the table settings, push 2ND and then WINDOW. Then change the TblStart to 0 and â–ł Tbl to 0.1.
Now push 2ND and GRAPH to see the table again with the new setup.
Now we can see that x=0.5 and x=0.6 both provide a value of 0 in the y-column. These are the zeros of the function, so the solutions to the quadratic equation are x=0.5 and x=0.6.
