Find the value of m for which the quadratic equation

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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.

Find the value of m for which the quadratic equation

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. A quadratic equation is an algebraic equation of the second degree in x. For writing a quadratic equation in standard form, the x 2 term is written first, followed by the x term, and finally, the constant term is written. All of these equations need to be transformed into standard form of the quadratic equation before performing further operations. The roots of a quadratic equation are the two values of x, which are obtained by solving the quadratic equation. These roots of the quadratic equation are also called the zeros of the equation. There are various methods to find the roots of a quadratic equation. The usage of the quadratic formula is one of them. Quadratic formula is the simplest way to find the roots of a quadratic equation. There are certain quadratic equations that cannot be easily factorized, and here we can conveniently use this quadratic formula to find the roots in the quickest possible way. The two roots in the quadratic formula are presented as a single expression.

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Last Updated: February 10, Fact Checked. This article was co-authored by David Jia. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. There are 9 references cited in this article, which can be found at the bottom of the page. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 1,, times. A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is 2.

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. 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.

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Punjab Civil Service. Solve similiar problem Enter your own problem. Bank of India PO. RPSC Librarian. JEE Main. Question asked by Filo student. Maharashtra Forest Department Lekhpal. If the discriminant is 0 , there will be only one distinct solution. Practice Questions on Quadratic Equation. One destination to cover all your homework and assignment needs. Gujarat High Court Peon.

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Allahabad High Court Group D. Views: 5, MP Jail Prahari. WB Police Sergeant. Haryana Police Commando. EMRS Driver. The projectile will return to the ground 6. Army Tradesman Agniveer. RRB Junior Translator. By the quadratic formula,. Indian Navy Chargeman.