# Problem Solving With Quadratic Equations

Note that the second value could have been gotten by changing the sign on the extraneous solution.

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This gave us an equivalent equation—without fractions—to solve.

We can use the same strategy with quadratic equations. We know from the Zero Products Principle that this equation has only one solution: .

But the Quadratic Formula took longer and provided me with more opportunities to make mistakes.

Warning: Don't get stuck in the rut of always using the Quadratic Formula!

That can happen, too, when using the Quadratic Formula.

• ###### General Quadratic Word Problems - Purplemath Home

Most quadratic word problems should seem very familiar, as they are built from the linear problems that you've done in the past. A picture has a height that is 4/3 its width. It is to be enlarged to have an area of 192 square inches. What will be the dimensions of the enlargement?…

• ###### Ways to Solve Quadratic Equations - wikiHow

A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is 2. There are three main ways to solve quadratic equations 1 to factor the quadratic equation if you can do so, 2 to use the quadratic formula, or 3 to complete the square.…

• ###### Quadratic Equations Solved Problems and Practice Questions.

In this article we cover quadratic equations – definitions, formats, solved problems and sample questions for practice. A quadratic equation is a polynomial whose highest power is the square of a variable x 2, y 2 etc. A polynomial that contains two terms is called a binomial expression. A.…

• ###### Solving quadratic equations by factoring examples

Here we are going to see some example problems on solving quadratic equations using the method factoring. Solving quadratic equations by factoring in the form ax ² + bx + c. Whenever we have a quadratic equation in the form ax ² + bx + c and we need to factor this, first we have to check whether the coefficient of x ² is 1 or not.…

• ###### Word problems involving quadratic Equations with solutions.

In order to learn how to solve quadratic equations by four different methods, please follow this tutorial. This tutorial assumes that you have already got a good skill in solving quadratic equations as explained in the above tutorial. This tutorial primarily focuses on solving real-world problems involving quadratic equations. E.g.1…

• ###### Quadratic Equations - Problems 1

Quadratic Functions Problems with Solutions Parabola Questions and Problems with Detailed Solutions Solve Quadratic Equations Using Discriminants Solve Equations, Systems of Equations and Inequalities.…