The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step.


9x2 +54x = 7


9(x2 + 6x) = 7


9(x2 + 6x + 9) = 7 + ?

Verified Answer :

Completing the square is done as follows:

  1. Write

the equation in a way that the constants are in the right side while the terms
with x are on the left. 

9x2 +54x = 7


2.
Make sure that the coefficient of the x^2 term is 1.

9(x2 + 6x) = 7

3.
Adding a term to both sides that
will complete the square in the left side. This is done by dividing the
coefficient of the x term by 2 and squaring it. Note: The same amount should be
added to the right side to balance the equation.


9(x2 + 6x + 9) = 7 + 81

9(x+3)^2 = 88

Answer:

The answer is 81 guys.

Step-by-step explanation: