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First, rewrite the equation in standard form.
0.8, - 1
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.
Note that x=- 1 provides a value of 0 in the y-column. From the table, we see that the function starts increasing somewhere between x=0 and x=1. Thus, a second solution should be between x=0 and x=1. To find its exact value, 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 0.3 and â–ł Tbl
to 0.1.
Now push 2ND and GRAPH to see the table again with the new setup.
Now we know that x=0.8 and x=- 1 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=0.8 and x=- 1.