completing the square

completing the square example problem 4

completing the square example problem 4

Consider completing the square for the equation

Consider completing the square for the equation

We can do this by completing the square as,

We can do this by completing the square as,

See how completing the square works in general - learn how to do it.

See how completing the square works in general - learn how to do it.

How to solve a quadratic equation by completing the square

How to solve a quadratic equation by completing the square

Remember: Always end up with one of these forms when completing the square:

Remember: Always end up with one of these forms when completing the square:

Completing the Square to Solve Quadratic Equations

Completing the Square to Solve Quadratic Equations

completing the square#3. back to top. Why not try out the new GCSE Maths

completing the square#3. back to top. Why not try out the new GCSE Maths

Completing the Square

Completing the Square

completing the square We did the same thing for x2 + 8x + ___ and were

completing the square We did the same thing for x2 + 8x + ___ and were

9.2 - The completing-the-square method

9.2 - The completing-the-square method

Completing the square can always be used to solve quadratic equations.

Completing the square can always be used to solve quadratic equations.

Completing the Square The Quadratic Formula Graphing Parabolas

Completing the Square The Quadratic Formula Graphing Parabolas

Method 2: Completing the square. Add 7 to both sides of the equation

Method 2: Completing the square. Add 7 to both sides of the equation

"The geometric proof by completing the square follows.

"The geometric proof by completing the square follows.

Completing the Square; Step-by-step Solution. 2 Roots or solutions.

Completing the Square; Step-by-step Solution. 2 Roots or solutions.

Completing the Square

Completing the Square

Completing the Square

Completing the Square

Completing the square is taking a quadratic function and making it into

Completing the square is taking a quadratic function and making it into

b) Find maximum height by putting in vertex form – ie – complete the square

b) Find maximum height by putting in vertex form – ie – complete the square