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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 7^1/2x^2-5x+19=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{7}, b=-5 and c=19. Replacing the values of a, b and c in the previous formula, we obtain. Multiply 4 times -19. Calculate the power {\left(-5\right)}^2.