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 can see that x=1 provides a a value of 0 in the y-column. This is the first solution of the given equation.
x=1
Note also that the y-values change signs from positive to negative. Thus, y must reach 0 when x is somewhere between - 1 and 0. To find the exact value, we will need to view smaller increments in the table. To change the table settings, push 2ND and WINDOW. Then change the TblStart to - 1 and â–³ Tbl to 0.01.
Now push 2ND and GRAPH to see the table again with the new configurations.
We can see that x=- 0.75 provides a value of 0 in the y-column. Thus, it is the second solution of the given equation.
x=- 0.75
