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. A quadratic equation is an algebraic equation of the second degree in x.

Find the value of m for which the quadratic equation

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The pool is 10 feet long and 6 feet wide.

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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.

Find the value of m for which the quadratic equation

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.

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Example 4. This is possible by taking the discriminant value, which is part of the formula to solve the quadratic equation. MP Vyapam Assistant Grade 3. AP Police SI. Maharashtra Prison Department. Question 2. Get Started. Hence the discriminant is an important and needed quantity, which helps to easily find the nature of the roots of the quadratic equation. West Bengal Group D. RBI Security Guard. Indian Army BSc Nursing. NIC Scientist B. The shorter leg is 50 meters long, the longer leg meters long, and the hypotenuse meters long.

The quadratic equation will always have two roots. The nature of roots may be either real or imaginary.

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