For the following quadratic equation, find the discriminant. -6x^(2)-12 x-3=-5x^(2)-4x Answer:

Simplify the equation: First, we need to simplify the given quadratic equation by combining like terms on both sides. The given equation is: -6x^2 - 12x - 3 = -5x^2 - 4x To simplify, we'll move all terms to one side to get a standard form of a quadratic equation (ax^2 + bx + c = 0). -6x^2 + 5x^2 - 12x + 4x - 3 = 0 Now, combine like terms. (-6x^2 + 5x^2) + (-12x + 4x) - 3 = 0 -1x^2 - 8x - 3 = 0Move terms to one side: Now that we have the quadratic equation in standard form, we can find the discriminant. The discriminant of a quadratic equation ax^2 + bx + c is given by the formula: Discriminant (D) = b^2 - 4ac For our equation, a = -1, b = -8, and c = -3.Combine like terms: Let's calculate the discriminant using the values of a, b, and c. D = (-8)^2 - 4*(-1)*(-3) D = 64 - 4*1*3 D = 64 - 12 D = 52

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For the following quadratic equation, find the discriminant.

-6x^(2)-12 x-3=-5x^(2)-4x
Answer:

For the following quadratic equation, find the discriminant. $\newline$ $-6 x^{2}-12 x-3=-5 x^{2}-4 x$ $\newline$ Answer:

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Q. For the following quadratic equation, find the discriminant.

\newline

-6 x^{2}-12 x-3=-5 x^{2}-4 x

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Answer:

Simplify the equation: First, we need to simplify the given quadratic equation by combining like terms on both sides. $\newline$ The given equation is: $\newline$ $-6x^2 - 12x - 3 = -5x^2 - 4x$ $\newline$ To simplify, we'll move all terms to one side to get a standard form of a quadratic equation $ax^2 + bx + c = 0$ . $\newline$ $-6x^2 + 5x^2 - 12x + 4x - 3 = 0$ $\newline$ Now, combine like terms. $\newline$ $(-6x^2 + 5x^2) + (-12x + 4x) - 3 = 0$ $\newline$ $-1x^2 - 8x - 3 = 0$
Move terms to one side: Now that we have the quadratic equation in standard form, we can find the discriminant. The discriminant of a quadratic equation $ax^2 + bx + c$ is given by the formula: $\newline$ Discriminant $(D) = b^2 - 4ac$ $\newline$ For our equation, $a = -1$ , $b = -8$ , and $c = -3$ .
Combine like terms: Let's calculate the discriminant using the values of $a$ , $b$ , and $c$ . $D = (-8)^2 - 4*(-1)*(-3)$ $D = 64 - 4*1*3$ $D = 64 - 12$ $D = 52$