# How To Solve A Quadratic Word Problem

Therefore, we had to subtract 20 from both sides in order to have the equation set to 0.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.Yes, this problem is a little trickier because the question is not asking for the maximum height (vertex) or the time it takes to reach the ground (zeros), instead it it asking for the time it takes to reach a height of 20 feet.

Therefore, we had to subtract 20 from both sides in order to have the equation set to 0.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.Yes, this problem is a little trickier because the question is not asking for the maximum height (vertex) or the time it takes to reach the ground (zeros), instead it it asking for the time it takes to reach a height of 20 feet.

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Therefore, this is the only correct answer to this problem.However, heavy dependence on calculators is leading more texts to create "interesting" (that is, needlessly complicated) exercises, so some (or all) of your exercises may involve much more messy computations than have been displayed here.If so, study these "neat" examples carefully, until you are quite sure you follow the reasoning.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. Step II: use the conditions of the problem to establish in unknown quantities.Step III: Use the equations to establish one quadratic equation in one unknown.Don't be surprised if many of your exercises work out as "neatly" as the above examples have.Many textbooks still engineer their exercises carefully, so that you can solve by factoring (that is, by quickly doing the algebra).You may come across problems that deal with money and predicted incomes (financial) or problems that deal with physics such as projectiles.You may also come across construction type problems that deal with area or geometry problems that deal with right triangles.Do you see how the ball will reach 20 feet on the way up and on the way down? We will now be solving for t using the quadratic formula. Our actual times were pretty close to our estimates.Just don't forget that when you solve a quadratic equation, you must have the equation set equal to 0.

• ###### How to solve quadratic word problems - Quora

To solve a quadratic word problem, you must first write down the root of the problem. ; You know b and c, but not a. Now from the text, you must find out what is the mathematical relation between a, b and c, and write it down as a formula. Then wether the formula is quadratic or not, solve it in the normal way.…

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

General Quadratic Word Problems page 2 of 3 The width of the pathway will be 1.5 meters. You have to make a square-bottomed, unlidded box with a height of three inches and a volume of approximately 42 cubic inches. You will be taking a piece of cardboard.…

• ###### How to Solve Word Problems Requiring Quadratic Equations

How to Solve Word Problems Requiring Quadratic Equations - Real Life Scenario Decide your variables. Write down any relationship between the two variables. Write down an equation that requires both the variables. Plug in the value for one of the variables in the equation. Simplify the equation.…

• ###### Quadratic Word Problems Projectile Motion -

Quadratic Word Problems Projectile Motion page 1 of 3 Usually the object is moving straight up or straight down. An object is launched at 19.6 meters per second m/s from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s t = –4.9t2 + 19.6t + 58.8, where s is in meters.…

Sal solves a word problem about a ball being shot in the air. The equation for the height of the ball as a function of time is quadratic. If you're seeing this message, it means we're having trouble loading external resources on our website.…

Find when a thrown ball reaches a specific height using a quadratic function and factoring - includes the graph of the quadratic function.…

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

Quadratic Solver. A quadratic equation takes the form of ax2 + bx + c where a and b are two integers, known as coefficients of x2 and x respectively and c, a constant. Enter a, b and c to find the solutions of the equations. E.g. x 2 - x - 6 = 0 where a = 1; b=-1; c=-6.…

• ###### How to solve word problems with quadratic equations - YouTube

How to solve word problems with quadratic equations. How to use word problems using quadratic equation. Geometry videos to help you figure out how to solve Math problems or review old Math.…

• ###### Word Problems Involving Quadratic Equations

The equation that gives the height h of the ball at any time t is ht= -16t2 + 40ft + 1.5. Find the maximum height attained by the ball. Let's first take a minute to understand this problem and what it means. We know that a ball is being shot from a cannon. So, in your mind, imagine a cannon firing a ball.…