How do you solve a quadratic by completing the square. Include every single step.

Step-by-step explanation:

Solving Quadratic Equations by Completing the Square

Step 1) Divide all terms by the coefficient of .

Step 2) Find.

Step 3) Find.

Step 4) Add to both sides of the equation.

Step 5) Complete the square on the left-hand-side of the equation.

Step 7) Take the square root of both sides and solve for the variable.

11 large mowers were sold.

Step-by-step explanation:

Let x represent the number of small mowers sold.

Let y represent the number of large mowers sold.

The total number of mowers sold was 30. This means that

x + y = 30

The small mower costs $249.99. The large mower costs $329.99. Total sales of mowers for the year were $8379.79. This means that

249.99x + 329.99y = 8379.79 - - - -1

Substituting x = 30 - y into equation 1, it becomes

249.99(30 - y) + 329.99y = 8379.79

7499.7 - 249.99y + 329.99y = 8379.79

- 249.99y + 329.99y = 8379.79 - 7499.7

80y = 880.09

y = 880.09/80

y = 11

x = 30 - y = 30 - 11

x = 19