To solve the quadratic equation by completing the square, follow these steps:
Step 1: Move the constant to the other side
First, subtract 4 from both sides of the equation:
This simplifies to:
Step 2: Factor out -4
Next, factor out -4 from the left side:
Step 3: Divide by -4
Now divide both sides by -4:
Step 4: Move the constant to the other side
Rearranging gives:
Step 5: Complete the square
To complete the square, we will use the formula:
where b = -4.
1.Calculate :