Question

3. Fill in the blanks with the correct numbers following the appropriate steps to complete the square of the following quadratic equation.

Step 1: Move the constant to the right side of the equation.
Step 2: Simplify both sides of the equation.
Step 3: Complete the square by adding half the middle term squared to both sides of the equation.
Step 4: Factor the left side of the equation since it is a perfect square trinomial and simplify the right side.
Step 5: Move the constant back to the left side of the equation, this will leave the equation in vertex form.
x² + 4x - 11 = y
Step 1: x² + 4x - 11+
Step 2: x² + 4x = y+11
Step 3: x² + 4x + 4
Step 4: (x+ I
Step 5: (x+
11
11
K
= 0+
+11
= 0

Answer 1

The blanks are filled with the correct numbers following the appropriate steps to complete the square of the following quadratic equation:

x² + 4x - 11 = y

Step 1: x² + 4x - 11 + 11 = y + 11

Step 2: x² + 4x = y+11

Step 3: x² + 4x + 4 = y + 11 + 4

Step 4: (x+ 2)² = y + 15

Step 5: (x + 2)² - 15 = y

How to solve quadratic equation?

x² + 4x - 11 = y

Step 1: x² + 4x - 11 + 11 = y + 11

Step 2: x² + 4x = y+11

Step 3: x² + 4x + 4 = y + 11 + 4

Step 4: (x+ 2)² = y + 15

Step 5: (x + 2)² - 15 = y

Therefore, the vertex of a quadratic equation is 2 and -15.

Complete question:

x² + 4x - 11 = y

Step 1: x² + 4x - 11+ ____

Step 2: x² + 4x = y+11

Step 3: x² + 4x + 4 = ______

Step 4: (x+ ____ = ___ + ___

Step 5: (x+ ___)² - ____ = ___