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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 integral calculus problems step by step online. Find the discriminant of the equation 6^1/2x^2+2x-(3/2)^1/2=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=\sqrt{6}, b=2 and c=-\sqrt{\frac{3}{2}}. Replacing the values of a, b and c in the previous formula, we obtain. Multiply -1 times 4. Multiply -4 times -1.