#### Solving a rational equation that simplifies to quadratic: Proportional form, advanced

This shows how to use the LCD of the two fractions that form a proportion to simplify the equation to a quadratic equation, then solve the quadratic by factoring and check the validity of the …

From  Tom Grant 10 plays 0

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

The key to solving this equation is eliminating the fractions first by multiplying by the least common denominator and dividingout equal factors. Note that the integer term must be multiplied by…

From  Tom Grant 18 plays 0

#### Solving a word problem using a quadratic equation with irrational roots

Shows how to substitite the given value for the output variable, then rearranges the resulting equation in standard form. Values for a, b, and c are identified and then entered into the quadratic…

From  Tom Grant 34 plays 0

#### Word problem involving the maximum or minimum of a quadratic function

This video explains the situation we are trying to minimize or maximize and the role of the input and output variables. Then the process of finding the location and value of the requested amount is…

From  Tom Grant 11 plays 0

Adding ratioinal expressions with quadratic denominators requires factoring each denominator so that the LCD can be determined. Then each fraction is exapanded by multiplying the tops and the…

From  Tom Grant 6 plays 0

#### Evaluating a quadratic expression: Integers

Given a value for the variable, here a quadratic expression is then calculated with that given value put in place of the variable.

From  Tom Grant 7 plays 0

#### Finding the x-intercepts, the y-intercept, and the vertex of a parabola

This demonstrates how to find these values for a quadratic equation of the form y = ax^2 + bx + c.

From  Tom Grant 20 plays 0

#### Finding the vertex, intercepts, and axis of symmetry from a graph of a parabola

This gives a graph of a parabola which is the graph of a quadratic equation or function. The demonstration first includes classifying it as a parabola that is opening downward or upward. Then it…

From  Tom Grant 14 plays 0

This radical equation when sqaured to eliminate the sqaure root creates a quadratic equation that can then be solved by factoring.

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 quadratic: Proportional form, basic

Single fractions set equal to each other forms a proportion. When presented with this, it can be "cross multiplied" to eliminate the fractions. The resulting equation has a term with the…

From  Tom Grant 6 plays 0

#### Finding the roots of a quadratic equation with leading coefficient greater than 1

This is a quadractic equation that can be factored to solve it. The zero product property allows writing the factors each equal to 0 and then solving those linear equatioins.

From  Tom Grant 11 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

#### Finding the roots of a quadratic equation of the form ax^2 + bx = 0

This type of equation is solved by factoring a GCF from both terms once the proper form is achieved. Then the zero product property allows the separation of the two factors into two solvable linear…

From  Tom Grant 14 plays 0

#### Combining like terms in a quadratic expression

Adding like terms when there are squared variables as well as single variables in the expression

From  Tom Grant 19 plays 0

#### Solving an equation of the form x^2 = a using the square root property

This talks about solving for a squared quantity by taking the square root of both sides. You must remember to put a "plus or minus" sign on one side of the equation to indicate the two…

From  Tom Grant 40 plays 0