2x 2 3x 1 0

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This site is best viewed with Javascript. If you are unable to turn on Javascript, please click here. When a product of two or more terms equals zero, then at least one of the terms must be zero. Earlier we factored this polynomial by splitting the middle term. Our parabola opens up and accordingly has a lowest point AKA absolute minimum. We know this even before plotting "y" because the coefficient of the first term, 2 , is positive greater than zero. Each parabola has a vertical line of symmetry that passes through its vertex.

2x 2 3x 1 0

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For using the factorisation method, the quadratic equation should be in descending order. It is already given in descending order. Similarly, all the terms in the left-hand side of the equation and there is no term in the right hand side of the equation. So, we can start the process for factoring the quadratic equation to solve it. The trinomial in the quadratic expression is expanded as a quadrinomial. There is a factor in every two terms commonly in the quadrinomial. Now, the zero product property can be used to solve the quadratic equation by making each linear expression in one variable equals to zero. A free math education service for students to learn every math concept easily, for teachers to teach mathematics understandably and for mathematicians to share their maths researching projects.

2x 2 3x 1 0

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. Linear equations with variables on both sides. About About this video Transcript. We start by visualizing the equation, then isolate the variable by performing the same operations on both sides.

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Gujarat Forest Guard. Maharashtra Arogya Vibhag Group D. Bihar Police SI. Rajasthan CET Graduates. Indian Army Group C. Patna Civil Court Stenographer. AP Police SI. UK Police Constable. Maharashtra Zilla Parishad Stenographer. Delhi Higher Judicial Service.

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Supreme Court Junior Court Assistant. Punjab Patwari. CISF Constable. Odisha Assistant Agriculture Officer. Karnataka Forest Guard. Odisha Junior Teacher. Bihar Police Constable. If you are unable to turn on Javascript, please click here. JEE Main. Delhi Police Constable. AP Animal Husbandry Assistant. That is, if the parabola has indeed two real solutions. Bihar LRC Clerk. Maharashtra Zilla Parishad Stenographer. BSF Water Wing.