Let x² + 15x = 49 .
what values make an equivalent number sentence after completing the square?
enter your answers in the blank areas.
x² + 15x +__=__

Since the numerical coefficient of the first term is only 1, we determine the number that needs to be added to both sides of the equation by squaring half of the second term. That is,
                                   third term = (15/2)² = 56.25
Thus, the missing terms are,
                          x² + 15x + 56.25 = 49 + 56.25
equal to,
                            x² + 15x + 56.25 = 105.25