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Solving Quadratic Equations by Completing the Square

"Solving quadratics can be difficult. Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadrat ...

Integer Power Function

"Power functions are functions where y = x^n where "n" is any real constant number. When "n" is a positive integer, we have two possible scenarios of an integer power function. When "n" is odd, the fu ...

Kinetic Energy

"The energy of an object in motion is called kinetic energy. Kinetic energy is defined as the energy needed for an object to accelerate from a resting position to its current velocity.  To calculuate ...

Counterexample

"Throughout Geometry, students write definitions and test conjectures using counterexamples. When writing definitions, counterexamples are useful because they ensure a complete and unique description ...

DeMoivre's Theorem

"We know how to multiply complex numbers, but raising complex numbers to a high integer power would involve a lot of computation. Fortunately we have DeMoivre's Theorem, which gives us a more simple s ...

Graphing Lines

"When first introduced to graphing lines, we often use a table of values to plot points and connect them. There are several other methods of graphing lines, including using a point and the slope. Some ...

Intermolecular Forces

"Intermolecular forces are forces that hold two molecules together. Dispersion forces (also called Van der Waals Forces) act on all molecules and are the only forces between two non-polar molecules. T ...

Single Replacement Reaction

"In a single replacement reaction, a single element replaces an atom in a compound producing a new compound and a pure element. Like double replacement reactions, metals always replace metals and nonm ...

Derivatives of Exponential Functions

"The derivative of an exponential function can be derived using the definition of the derivative. Derivatives of exponential functions involve the natural logarithm function, which itself is an impor ...

Atomic Structure

"The Bohr model is a simple model of atomic structure. It is now outdated, but is still useful at the basic level. An atom has a central core called its nucleus which contains its protons (positively ...

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