What is the discriminant of the quadratic equation 7x^(2)-7x-8=0 ? 273 -175 175 -273

Identify coefficients: Identify the coefficients of the quadratic equation. The general form of a quadratic equation is ax^2 + bx + c = 0. For the given equation 7x^2 - 7x - 8 = 0, the coefficients are: a = 7 (coefficient of x^2) b = -7 (coefficient of x) c = -8 (constant term)Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation. The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by the formula D = b^2 - 4ac.Substitute into formula: Substitute the identified coefficients into the discriminant formula. Using the coefficients from Step 1, we substitute them into the discriminant formula: D = (-7)^2 - 4(7)(-8)Calculate discriminant: Calculate the discriminant. Now, we perform the calculations: D = 49 - 4(7)(-8) D = 49 + 224 D = 273

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What is the discriminant of the quadratic equation
7x^(2)-7x-8=0 ?
273

-175
175

-273

What is the discriminant of the quadratic equation $7 x^{2}-7 x-8=0$ ? $\newline$ $273$ $\newline$ $-175$ $\newline$ $175$ $\newline$ $-273$

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Q. What is the discriminant of the quadratic equation

7 x^{2}-7 x-8=0

\newline

273

\newline

-175

\newline

175

\newline

-273

Identify coefficients: Identify the coefficients of the quadratic equation. $\newline$ The general form of a quadratic equation is $ax^2 + bx + c = 0$ . For the given equation $7x^2 - 7x - 8 = 0$ , the coefficients are: $\newline$ a = $7$ (coefficient of $x^2$ ) $\newline$ b = $-7$ (coefficient of $x$ ) $\newline$ c = $-8$ (constant term)
Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation. The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by the formula $D = b^2 - 4ac$ .
Substitute into formula: Substitute the identified coefficients into the discriminant formula. $\newline$ Using the coefficients from Step $1$ , we substitute them into the discriminant formula: $\newline$ $D = (-7)^2 - 4(7)(-8)$
Calculate discriminant: Calculate the discriminant. $\newline$ Now, we perform the calculations: $\newline$ $D = 49 - 4(7)(-8)$ $\newline$ $D = 49 + 224$ $\newline$ $D = 273$