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Discriminant of $$$\left(20 - x\right)^{2} = 2304 \left(44 - x\right)^{2}$$$

The calculator will find the discriminant of the quadratic equation $$$\left(20 - x\right)^{2} = 2304 \left(44 - x\right)^{2}$$$, with steps shown.

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Your Input

Find the discriminant of $$$\left(20 - x\right)^{2} = 2304 \left(44 - x\right)^{2}$$$.

Solution

Rewrite the equation: $$$\left(20 - x\right)^{2} = 2304 \left(44 - x\right)^{2}$$$ becomes $$$\left(20 - x\right)^{2} - 2304 \left(44 - x\right)^{2} = 0$$$.

The discriminant of the quadratic equation $$$a x^{2} + b x + c = 0$$$ is $$$D = b^{2} - 4 a c$$$.

Our equation is $$$- 2303 x^{2} + 202712 x - 4460144 = 0$$$, so $$$a = -2303$$$, $$$b = 202712$$$, $$$c = -4460144$$$.

Thus, $$$D = 202712^{2} - \left(4\right)\cdot \left(-2303\right)\cdot \left(-4460144\right) = 5308416$$$.

Answer

The discriminant of $$$\left(20 - x\right)^{2} = 2304 \left(44 - x\right)^{2}$$$A is $$$5308416$$$A.