# How To Solve A Quadratic Word Problem First assign a variable to one side of the triangle.The smaller value is the length of the shorter leg and the higher value is the hypotenuse of the right triangle.

First assign a variable to one side of the triangle.

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I completely understand and here's where I am going to try to help!

There are many types of problems that can easily be solved using your knowledge of quadratic equations.

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.

Lucky for you, you can solve the quadratic equations, now you just have to learn how to apply this useful skill.

On this particular page, we are going to take a look at a physics "projectile problem". We know that the ball is going to shoot from the cannon, go into the air, and then fall to the ground. A ball is shot from a cannon into the air with an upward velocity of 40 ft/sec. Hopefully, you agree that we can use the quadratic formula to solve this equation.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.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.Therefore, this is the only correct answer to this problem.) And we know the total time is 3 hours: total time = time upstream time downstream = 3 hours Put all that together: Two resistors are in parallel, like in this diagram: The total resistance has been measured at 2 Ohms, and one of the resistors is known to be 3 ohms more than the other. The formula to work out total resistance "R = 3 Ohms is the answer. Quadratic Equations are useful in many other areas: For a parabolic mirror, a reflecting telescope or a satellite dish, the shape is defined by a quadratic equation.Quadratic equations are also needed when studying lenses and curved mirrors.Step IV: Solve this equation to obtain the value of the unknown in the set to which it belongs.x = -5 does not satisfy the conditions of the problem length or breadth can never be negative. In solving a problem, each root of the quadratic equation is to be verified whether it satisfies the conditions of the given problem. Now you have to figure out what the problem even means before trying to solve it.Your company is going to make frames as part of a new product they are launching.The frame will be cut out of a piece of steel, and to keep the weight down, the final area should be 28 cm when: x is about −9.3 or 0.8 The negative value of x make no sense, so the answer is: x = 0.8 cm (approx.) There are two speeds to think about: the speed the boat makes in the water, and the speed relative to the land: We can turn those speeds into times using: time = distance / speed (to travel 8 km at 4 km/h takes 8/4 = 2 hours, right?

## Comments How To Solve A Quadratic Word Problem

• ###### Real World Examples of Quadratic Equations - Math Is Fun
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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 Factoring Quadratics. Completing the Square. Graphing Quadratic Equations. The Quadratic Formula. Online Quadratic Equation Solver.…

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

• ###### Word Problems Involving Quadratic Equations
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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.…

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

• ###### Quadratic Function Word Problem - YouTube
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Find when a thrown ball reaches a specific height using a quadratic function and factoring - includes the graph of the quadratic function.…

• ###### Quadratic word problem ball - Khan Academy
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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.…

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

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