For the following quadratic equation, find the discriminant. -6x^(2)+53 x-180=-3x^(2)-7x Answer:

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For the following quadratic equation, find the discriminant.  -6x^(2)+53 x-180=-3x^(2)-7x Answer:

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Simplify the Equation: First, we need to simplify the given equation by moving all terms to one side to get a standard quadratic equation of the form ax^2 + bx + c = 0. -6x^2 + 53x - 180 = -3x^2 - 7x Add 3x^2 to both sides: -6x^2 + 3x^2 + 53x - 180 = -7x Combine like terms: -3x^2 + 53x - 180 = -7x Now, add 7x to both sides: -3x^2 + 53x + 7x - 180 = 0 Combine like terms: -3x^2 + 60x - 180 = 0Find the Discriminant: Now that we have the quadratic equation in standard form, we can find the discriminant using the formula b^2 - 4ac, where a, b, and c are the coefficients from the quadratic equation ax^2 + bx + c = 0. For our equation, a = -3, b = 60, and c = -180. Let's calculate the discriminant: Discriminant = b^2 - 4ac Discriminant = (60)^2 - 4(-3)(-180)Calculate the Discriminant: Perform the calculations: Discriminant = 3600 - 4(-3)(-180) Discriminant = 3600 - 4(540) Discriminant = 3600 - 2160 Discriminant = 1440

For the following quadratic equation, find the discriminant. $\newline$ $-6 x^{2}+53 x-180=-3 x^{2}-7 x$ $\newline$ Answer:

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For the following quadratic equation, find the discriminant.\newline−6x2+53x−180=−3x2−7x -6 x^{2}+53 x-180=-3 x^{2}-7 x −6x2+53x−180=−3x2−7x\newlineAnswer:

For the following quadratic equation, find the discriminant. $\newline$ $-6 x^{2}+53 x-180=-3 x^{2}-7 x$ $\newline$ Answer: