Equation That Has No Solution, An
An equation is found to have no solution after using the least common denominator to get a quadratic equation.
Evaluating a Rational Expression in which m = 4 Compared with the Same Expression in which m = -4
Comparison of the results of evaluating an expression in which the variable is substituted with 4 and then with -4.
Using a Quadratic Equation to Calculate What Size Driveway Will Fit Within the Budget
Using the quadratic equation to solve a practical problem that involves finding calculating the width and length a driveway can be given a budgeted amount of money.
Multiplying and Dividing Both Sides of an Inequality by a Negative Number
It is necessary to reverse the inequality symbol whenever you multiply or divide by a negative number.
Standard Quadratic Trinomial Form
The standard form for any quadratic trinomial is ax2 bx c.
Working With the Discriminant First
Work with the discriminant first because it determines whether or not the equation has a solution. If the discriminant is positive, the equation has two solutions. If the discriminant is negative, the equation has not solution. Examples of both are ...
Writing Compound Inequalities
Step-by-step demonstration of combining inequalities.
Square Root of a Negative Number is Not a Real Number, The
The square root of any negative number is not a real number. Writing a negative number in radical form is illustrated.
Using the Discriminant to Calculate Income from Mug Sales
Using the discriminant to solve a practical problem involving the pricing of mugs for greatest profit.
When to Factor Instead of Using the Quadratic Formula
It makes sense to factor instead of using the quadratic formula when it's easy to find two numbers whose sum is the same as the middle term's coefficient and whose product is equal to the leading coefficient multiplied by the last term. An example i...