Completing the square is a helpful way to solve quadratic equations! Here’s how I usually do it, step by step:
Start with the equation: Make sure it looks like this: .
Move the constant: Shift the number () to the other side to get: .
Divide by : If isn’t 1, divide everything by . This makes the math easier.
Find the perfect square: Take half of the number in front of (that’s ), square it, and add it to both sides of the equation.
Rewrite the left side: Now, the left side looks like this: .
Solve for : Take the square root of both sides. Then, solve for .
And that’s it! You can now find your solutions!
Completing the square is a helpful way to solve quadratic equations! Here’s how I usually do it, step by step:
Start with the equation: Make sure it looks like this: .
Move the constant: Shift the number () to the other side to get: .
Divide by : If isn’t 1, divide everything by . This makes the math easier.
Find the perfect square: Take half of the number in front of (that’s ), square it, and add it to both sides of the equation.
Rewrite the left side: Now, the left side looks like this: .
Solve for : Take the square root of both sides. Then, solve for .
And that’s it! You can now find your solutions!