To solve the quadratic equation by completing the square, follow these steps:
Step 1: Move the constant to the other side
First, add 11 to both sides of the equation:
This simplifies to:
Step 2: Factor out -2
Factor out -2 from the left side:
Step 3: Divide by -2
Now, divide both sides by -2:
Step 4: Move the constant to the other side again
Rearranging gives:
Step 5: Complete the square
To complete the square, use the perfect square formula:
where b = -4.
1.Calculate :