# Solving Problems Using Quadratic Equations You've now seen it all when it comes to projectiles! Hopefully you've been able to understand how to solve problems involving quadratic equations.I also hope that you better understand these common velocity equations and how to think about what this problem looks like graphically in order to help you to understand which process or formula to use in order to solve the problem.Therefore, this is the only correct answer to this problem.

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Since I'll be cutting equal-sized squares out of all of the corners, and since the box will have a square bottom, I know I'll be starting with a square piece of cardboard.

In this last exercise above, you should notice that each solution method gave the same final answer for the cardboard's width.

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

Warning: Many students get in the very bad habit of arbitrarily changing signs to get the answers they need, but this does not always work, and will very likely get them in trouble later on.

Since the ball reaches a maximum height of 26.5 ft, we know that it will reach a height of 20 feet on the way up and on the way down.

Let's just estimate on our graph and also make sure that we get this visual in our head.

And many questions involving time, distance and speed need quadratic equations.

These word problems involve situations I've discussed in other word problems: The area of a rectangle, motion (time, speed, and distance), and work.

Let's take a look at the picture "in our mind" again. This is the calculation for when the ball was on the ground initially before it was shot.

This actually never really occurred because the ball was shot from the cannon and was never shot from the ground. The other answer was 2.54 seconds which is when the ball reached the ground (x-axis) after it was shot.

## Comments Solving Problems Using Quadratic Equations

• ###### Word problems involving quadratic Equations with solutions GCSE 9-1, A.
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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…

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Many word problems Involving unknown quantities can be translated for solving quadratic equations Methods of solving quadratic equations are discussed here in the following steps.…

• ###### More Word Problems Using Quadratic Equations - Example 1
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More Word Problems Using Quadratic Equations - Example 1. Category Education; Show more Show less. Solving Quadratic Equations by Factoring - Basic Examples - Duration.…

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How to Solve Word Problems Using Quadratic Equations, Ch. 5.2, Algebra 2 Advanced. Solving Word Problems in Distance, Rate, and Time Using Quadratics - Example 2 - Duration.…

• ###### Ways to Solve Quadratic Equations - wikiHow
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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 Word Problems - Online Math Learning
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Videos, worksheets, examples, solutions, and activities to help Algebra 1 students learn how to solve geometry word problems using quadratic equations. Quadratic equations - Solving word problems using factoring of trinomials Question 1a Find two consecutive integers that have a product of 42…

• ###### Solving Problems using the Quadratic Formula -
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Test your knowledge of solving problems using the quadratic formula by using this interactive quiz. Utilize the worksheet to identify the more.…

• ###### Real World Examples of Quadratic Equations - Math Is Fun
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Real World Examples of Quadratic Equations. A Quadratic Equation looks like this. Quadratic equations pop up in many real world situations. Here we have collected some examples for you, and solve each using different methods…

• ###### Word Problems Involving Quadratic Equations
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Need Help Solving Those Dreaded Word Problems Involving Quadratic Equations? Yes, I know it's tough. You've finally mastered factoring and using the quadratic formula and now you are asked to solve more problems!…

• ###### General Quadratic Word Problems - Purplemath
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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?…