For the following quadratic equation, find the discriminant. -2x^(2)-12 x+12=-2 Answer:

Write Quadratic Equation: Write the quadratic equation in standard form ax^2 + bx + c = 0. The given equation is -2x^2 - 12x + 12 = -2. To write it in standard form, we need to move all terms to one side of the equation. -2x^2 - 12x + 12 + 2 = 0 -2x^2 - 12x + 14 = 0Identify Coefficients: Identify the coefficients a, b, and c from the standard form of the quadratic equation. In the equation -2x^2 - 12x + 14 = 0, the coefficient a is -2, the coefficient b is -12, and the coefficient c is 14.Calculate Discriminant: Calculate the discriminant using the formula D = b^2 - 4ac. Substitute the values of a, b, and c into the formula. D = (-12)^2 - 4(-2)(14) D = 144 - 4(-2)(14)Continue Calculation: Continue the calculation of the discriminant. D = 144 - (-112) D = 144 + 112 D = 256

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For the following quadratic equation, find the discriminant.

-2x^(2)-12 x+12=-2
Answer:

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

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Algebra 2

Solve exponential equations by rewriting the base

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

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-2 x^{2}-12 x+12=-2

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Answer:

Write Quadratic Equation: Write the quadratic equation in standard form $ax^2 + bx + c = 0$ . The given equation is $-2x^2 - 12x + 12 = -2$ . To write it in standard form, we need to move all terms to one side of the equation. $-2x^2 - 12x + 12 + 2 = 0$ $-2x^2 - 12x + 14 = 0$
Identify Coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the standard form of the quadratic equation. $\newline$ In the equation $-2x^2 - 12x + 14 = 0$ , the coefficient $a$ is $-2$ , the coefficient $b$ is $-12$ , and the coefficient $c$ is $14$ .
Calculate Discriminant: Calculate the discriminant using the formula $D = b^2 - 4ac$ . Substitute the values of $a$ , $b$ , and $c$ into the formula. $D = (-12)^2 - 4(-2)(14)$ $D = 144 - 4(-2)(14)$
Continue Calculation: Continue the calculation of the discriminant. $\newline$ $D = 144 - (-112)$ $\newline$ $D = 144 + 112$ $\newline$ $D = 256$