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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 (3+22^1/2)x^2-22^1/2(2^1/2+1)x+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=\left(3+2\sqrt2\right), b=-2\sqrt2\cdot \left(\sqrt2+1\right) and c=2. Replacing the values of a, b and c in the previous formula, we obtain. Multiply 4 times -2. Calculate the power \sqrt{2}.