Question

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.

Answer 1

The first three steps for solving the quadratic equation by completing the square are as follows;

1. $\rm 9x^2 +54x = 7$

2. $\rm 9(x^2 + 6x) = 7$

3. $\rm 9(x^2 + 6x + 9) = 7 + 81$

Given

The quadratic equation given as  9x^2 + 54x = 7.

Quadratic equation;

The highest power of the degree is 2 is known as a quadratic equation.

To solve using the completing the square method.

The first three steps for solving the quadratic equation by completing the square are given below.

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

$\rm 9x^2 +54x = 7$

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

$\rm 9(x^2 + 6x) = 7$

3. Adding a term to both sides that will complete the square on the left side.

This is done by dividing the coefficient of the x term by 2 and squaring it.

The same amount should be added to the right side to balance the equation.

$\rm 9(x^2 + 6x + 9) = 7 + 81$

To know more about quadratic equations click the link given below.

brainly.com/question/25963825