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Description: The purpose of this lecture is to apply the general ideas of solving equations using invariant transformations to a particular case of linear equations. The most general form of linear equation is: A*X + B = 0 where coefficient A is not equal to 0.
Tags: algebra equation graphical invariant linear transformation unizor unizor.com
Description: Using invariant and not invariant transformations, solve the following equations. Beware of loosing solutions as you apply certain not invariant transformations: X*X - 16 = 0; (X*X - 16)/((X + 4)*(X + 4)) = 0; (X*X - 1)*(X - 3) + X + 1 = 0;
Tags: algebra equation invariant non-invariant solution transformation unizor unizor.com
Description: Causiously using invariant and not invariant transformations, solve equations: 2*SQRT(X + 4) - 10 = 0; (SQRT(X + 4))/2 - 10 = 0; (SQRT(X + 4))/2 - 10*SQRT(X + 1) = 0; where SQRT(...) is a function of square root.
Tags: algebra equations invariant math non-invariant problem teens transformation unizor unizor.com
Description: Using the language of invariant transformations, solve equations: 2*(X + 4) - 10 = 0; (X + 4)/2 - 10 = 0; (X + 4)/2 - 10*(X + 1) = 0;
Description: In this lecture we will consider invariant and not invariant transformations that can be done with equations.
Tags: algebra equations invariant math transformations unizor unizor.com
Description: The purpose of this lecture is to generalize a concept of an equation. The basis for this generalization is a concept of a function. The process of solving equations is explained in terms of invariant transformations.
Tags: algebra equation invariant solution transformation unizor unizor.com
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