The M-Lectures: PARABOLAS and QUADRATIC EQUATIONS.

Quadratic Equations. What are they? What are they good for? How can I learn them? How can I use them? Why should I learn them? These are but the few questions answered here. These lectures are part of the M-Series. A individual intent to teach math to interested individuals or groups. It is an imperative to teach math to the world. Specially to those peoples living in remote areas. It is my hope these series will reach the needy; after all: our audience is the Universe.

Sunday, April 22, 2012

How to sketch it. (Graphing Parabolas)

Tuesday, April 10, 2012

Another look at deriving the Quadratic Formula

Subtract C from both sides.

Solve for x. Cancel the a from the first term.

Complete the square trinomial on the left side.

Factor the left side perfect square trinomial. Rearrange the terms on the right side.

Find the LCM and subtract the fraction on the right side.

Multiply and rearrange the terms in the second fraction on the right hand side.

Take the square root of each side.

Simplify the square root of the LCM.

Leave the x by itself and you are done.

Wednesday, April 4, 2012

Deriving the quadratic equation 6. (last)

Note: notice that c below was given to be the initial velocity, this is wrong. C is in fact the height at which the object is either thrown or catapulted. I will change this picture later.