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Equation An equation of the form ax² + bx + c = 0, where a, b, c are real numbers and a ≠ 0.
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Form The form ax² + bx + c = 0, a ≠ 0, where the terms of the polynomial are written in descending order of their degrees.
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The values of x for which a quadratic equation ax² + bx + c = 0 is satisfied are called the roots of the equation.
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The zeroes of the quadratic polynomial ax² + bx + c are the same as the roots of the quadratic equation ax² + bx + c = 0.
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Method A way to find the roots of a quadratic equation by factorising the quadratic polynomial into two linear factors and equating each to zero.
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The value b² – 4ac which determines whether a quadratic equation ax² + bx + c = 0 has real roots or not.
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Roots Solutions to a quadratic equation that are real numbers.
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Real Roots A quadratic equation has two unique real roots if the discriminant b² – 4ac is greater than 0.
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Real Roots A quadratic equation has two identical real roots if the discriminant b² – 4ac is equal to 0.
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Real Roots A quadratic equation has no real number solutions if the discriminant b² – 4ac is less than 0.
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Formula A formula derived by Sridharacharya for solving a quadratic equation by completing the square, which is 2 4 / 2 x b b ac a = .
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Many people believe they were the first to solve quadratic equations, knowing how to find two positive numbers with a given sum and product.
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An ancient Indian mathematician who gave an explicit formula to solve a quadratic equation of the form ax² + bx = c.
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A Greek mathematician who developed a geometrical approach for finding out lengths which are solutions of quadratic equations.
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Quadratic equations arise in several situations in the world around us and in different fields of mathematics, such as calculating areas or representing problems about ages or distances
