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The discriminant (D) of a quadratic polynomial of the form $ax^2+bx+c$ is calculated using the following formula, where $a$, $b$ and $c$ are the coefficients of the corresponding terms
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$D=b^2-4ac$
Learn how to solve discriminant of quadratic equation problems step by step online. Find the discriminant of the equation x^4-6x^319/2x^2-7/2x+-15/16=0. The discriminant (D) of a quadratic polynomial of the form ax^2+bx+c is calculated using the following formula, where a, b and c are the coefficients of the corresponding terms. From the equation, we see that a=\frac{19}-\frac{15}{16}, b=-\frac{7}-\frac{15}{16} and c=-\frac{15}{16}. Replacing the values of a, b and c in the previous formula, we obtain. Multiply -1 times 4. Multiply -4 times -\frac{15}{16}.