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Solving a quadratic equation by completing the square: Exact Answers

Two examples are shown here, one relatively easy, then one with some fractions involved.

From  Tom Grant 4 plays 0  

Graphing a parabola ofthe form y = ax^2 or y = ax^2 + c

Shows how to shoose appropriatate input values to find five points, then plot them and draw the graph.

From  Tom Grant 6 plays 0  

Simplifying a sum or difference of radical expressions: Univariate

This includesradicals that contain variable factors, but continues the simplification of various terms in a sum or difference so that possible like terms can be added orsubtracted.

From  Tom Grant 7 plays 0  

Adding rational expressions with linear denominators without common factors: Basic

A subtraction of fractionso where the denominators have no factors in common so we simpllly multiply the two together to create the LCD. Then both fractions are adjusted by multiplying each…

From  Tom Grant 9 plays 0  

Adding rational expressions with common denominators and binomial numerators

This demonstrates adding two rational expressions that have different terms individually in the numerator and a common denominator. When the fractions are added, it creates the possibility of adding…

From  Tom Grant 9 plays 0  

Rewriting an algebraic expression without a negative exponent

Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is.

From  Tom Grant 9 plays 0  

Square root of a perfect square

Shows how square rooting is the opposite of squariing

From  Tom Grant 7 plays 0  

Simplifying a product involving square roots using the distributive property: Basic

Demonstrates distribution when radicals are invovled.

From  Tom Grant 9 plays 0  

Introduction to simplifying a product involving square roots using the distributive property

A quick look at distributin a radical across a sum of a whole number and a different radical

From  Tom Grant 17 plays 0  

Introduction to simplifying a product of higher roots

A qucikc look at a simple fourth root of a combined pair of them, numbers only.

From  Tom Grant 7 plays 0  

Simplifying a product of radical expressions: Univariate

Multiplying two radical expressions by showing the factorization of the numbers and using even exponents to remove variable factors.

From  Tom Grant 10 plays 0  

Square root multiplication: Advanced

An example that is a little more complicated about how to simplify radicals that are being multiplied

From  Tom Grant 9 plays 0  

Introduction to simplifying a sum or difference of radical expressions: Univariate

Two examples of reducing radicals to then be able add or subtract like radicals

From  Tom Grant 6 plays 0  

Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators

Here we solve a rational equation by multiplying each of the terms in the equation by the LCD of all of the fractions. This allows us to divide to one all of the factors in the denominators and the…

From  Tom Grant 10 plays 0  

Solving a rational equation that simplifies to linear: Denominator x + a

Shows cross multipication of two single fractions set equat to each other to create a new equation that has no fractions and is then solvable by the typical methods.

From  Tom Grant 15 plays 0  

Finding the roots of a quadratic equation with leading coefficiant 1

This applies the factoring methods learned previously to solving a quadratic equation in standard form, that is with all th eterms on the left of the equals sign and 0 on the right

From  Tom Grant 16 plays 0