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.

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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. You can see similar problems solved by clicking on 'Solve similar' button. However, in the long run it is better to start with Lhe general quadratic equation,.

Because the discriminant is positive and a,band c are integers, there are two real-number solutions.

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The quadratic equation will always have two roots. The nature of roots may be either real or imaginary. A quadratic polynomial, when equated to zero, becomes a quadratic equation. In other terms, a quadratic equation is a second degree algebraic equation. The values of x satisfying the equation are called the roots of the quadratic equation. The values of variables satisfying the given quadratic equation are called their roots. The term b 2 — 4ac in the quadratic formula is known as the discriminant of a quadratic equation. The discriminant of a quadratic equation reveals the nature of roots.

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. If you want to know how to master these three methods, just follow these steps. To solve quadratic equations, start by combining all of the like terms and moving them to one side of the equation.

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Textbook solutions. Rajasthan Housing Board JE. Partial Fractions. Question 3. A quadratic equation can be solved to obtain two values of x or the two roots of the equation. AAI Junior Executive. Views: 5, Punjab Civil Service. Total classes on Filo by this tutor - 13, Start Now.

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There are various methods to find the roots of a quadratic equation. CG Vyapam Sub Engineer. Many equations that are not actually quadratic equations can be solved by the methods discussed earlier in this chapter. Rajasthan Housing Board Junior Accountant. The quadratic equation can also be formed for the given roots of the equation. When problems involve different units of time as in Example 3, where rate was given in miles per hour and time was given in minutes. Question 2. RBI Grade B. Canara Bank PO. Indian Navy Tradesman. SCCL Clerk. BSF Tradesman. Why is the restriction a! Quadratic equations have maximum of two solutions, which can be real or complex numbers. Bihar Vidhan Parishad Security Guard.