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The Quadratic Formula

"When we solve quadratic equations, we have several different methods that we can choose from. Using the quadratic formula is just one of those methods and is a method that always works. When sol ...

Square Matrix Inverse

"We use the identity matrix to calculate a square matrix inverse. In order to be invertible, a matrix must be square, and by finding the square matrix inverse, we can find the solution of a system of ...

Solving Quadratic Equations using Square Roots

"Solving quadratics can be difficult and solving quadratics using square roots is just one of the methods of solving a quadratic equation. Solving a quadratic equation using square roots works be ...

Solving Quadratic Equations by Factoring

"When we solve quadratic equations, we have several different methods that we can choose from. Solving quadratic equations by factoring is just one of those methods. When solving quadratic equations b ...

Solving a Quadratic Equation

"Solving quadratic equations can be difficult, but luckily there are several different methods that we can use depending on what type of quadratic that we are trying to solve. The four methods of ...

Regions Between Circles and Squares

"A common application of the area of a circle and the area of a square are problems where a circle is circumscribed about a square or inscribed in a square. Regions between circles and squares problem ...

Deriving the Quadratic Formula

"The quadratic formula is one of the most important formulas that you will learn in Algebra and chances are that you have probably memorized it. But where does it come from? When deriving the quadrati ...

Quadratic Equation Discriminant

"The discriminant is part of the quadratic formula which lies underneath the square root. The quadratic equation discriminant is important because it tells us the number and type of solutions. This in ...

Complex Quadratic Equations

"There are four methods to solving quadratic equations: factoring, completing the square, using square roots, and using the quadratic formula. Sometimes there are more complex quadratic equations in ...

Completing the Square

"Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic ...

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