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b2 4ac equation. Xdfrac - bpmsqrt goldD b2-4ac 2a x 2ab b2 4ac The discriminant can be positive zero or negative and this determines how many solutions there are to the given quadratic equation. Note that the Discriminant is negative.
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X 2 15 i. X 4 9 2. The above two values of x are known as roots of the quadratic equation.
The Quadratic Formula x bb24ac 2a x b b 2 4 a c 2 a is found by completing the square of the quadratic equation.
The discriminant b2 - 4ac offers valuable information about the nature of the roots of a quadratic equation where a b and c are rational values. It quickly tells you if the equation has two real roots b2 - 4 ac 0 one real repeated root b2 - 4 ac 0 or two complex conjugate roots b2 - 4 ac 0. Roots can occur in a parabola in 3 different ways as shown in the. Solve the equation by factoring.
