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Showing posts with label algebra. Show all posts
Showing posts with label algebra. Show all posts

Sunday, November 30, 2014

Algebra Final Exam

A very good way to study for the final exam in your #algebra class is to review and redo all of your old exams.

Thursday, October 24, 2013

In this section, we make use of all the techniques that we have learned so far for solving quadratic equations. In fact, the equations found here are reducible to quadratic form.
Here are most of the reducible equations that we are likely to encounter. Begin by trying to identify what can be squared to obtain the leading variable term.
Tip: Look at the middle term for a hint as to what u should be.
In the previous solved problem, we certainly could have distributed the expression on the left side, put the equation in standard form then re-factored it. Instead, here we are illustrating a technique that will be used to easily solve many other equations that are quadratic in form.

Solve by making a u-substitution.

Solve: x^6 + 26x^3 -27

Six Answers: { -3, 1, (3±3iSqrt(3))/2, (-1±iSqrt(3))/2 }

So far we have been able to factor after we make the u-substitution.  If the resulting quadratic equation does not factor, then use the quadratic formula.

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Wednesday, October 23, 2013

Logarithms, Exponentials, and Equations

Notes and video examples covering the following topics:

YouTube Videos: ( Click a problem and watch it worked out in YouTube )

Function Composition:

Inverse Functions:

Exponential Functions and Their Graphs

The Natural Exponential Function

Logarithmic Functions

Graphing Logarithmic Functions

Change of Base Formula
Properties of the Logarithm

Solving Exponential Equations

Solving Logarithmic Equations

Compound Interest Problems

Exponential Growth and Decay