Find the value of m for which the quadratic equation

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The term "quadratic" comes from the Latin word "quadratus" meaning square, which refers to the fact that the variable x is squared in the equation. Did you know that when a rocket is launched, its path is described by a quadratic equation? Further, a quadratic equation has numerous applications in physics, engineering, astronomy, etc. Quadratic equations have maximum of two solutions, which can be real or complex numbers. We shall learn more about the roots of a quadratic equation in the below content.

Find the value of m for which the quadratic equation

Why is the restriction a! The simplest method of solving a quadratic equation, but one that is not always easily applied, is by factoring. This method depends on the following property. The next example shows how the zero-factor property is used to solve a quadratic equation. Check these solutions by substituting in the original equation. The next example shows how to write a quadratic equation in this form. Rewrite the equation so that the constant term is alone on one side of the equals sign. Square half the coefficient of x , and add this square to both sides of the equation. Factor the resulting trinomial as a perfect square and combine terms on the other side. This is how our quadratic equation step by step solver solves the problem above.

One side of the equation still contains a radical; to eliminate it. Maths Questions. As mentioned above, this equation is quadratic in form.

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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. The quadratic formula. About About this video Transcript. The quadratic formula helps us solve any quadratic equation. See examples of using the formula to solve a variety of equations. Created by Sal Khan.

Find the value of m for which the quadratic equation

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. More on completing the square. What you should be familiar with before taking this lesson. Solving quadratic equations by taking the square root.

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Last Updated: February 10, Fact Checked. This article was co-authored by David Jia.

The only realistic solution for the landing speed is approximately High dosage tutoring from Dedicated 3 experts. The next example shows how the zero-factor property is used to solve a quadratic equation. Mazagon Dock Shipbuilders Non Executive. AP High court Stenographer. Kerala High Court Assistant. Methods to Solve Quadratic Equations 7. When an equation Contains two radicals, begin by isolating one of the radicals on one side of the equation. Sometimes it is necessary to solve a literal equation for a variable that is squared. Assam Police Constable. Indian Airmen Group Y. Uttarakhand D.