What is the discriminant of the quadratic equation 7x^(2)-x-6=0 ? 169 167 -169 -167

Identify coefficients: Identify the coefficients of the quadratic equation. The standard form of a quadratic equation is ax^2 + bx + c = 0. In the equation 7x^2 - x - 6 = 0, the coefficients are: a = 7, b = -1, and c = -6.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 coefficients: Substitute the coefficients into the discriminant formula. Using the coefficients from Step 1, we substitute them into the formula: D = (-1)^2 - 4(7)(-6).Calculate discriminant: Calculate the discriminant. D = 1 - 4(7)(-6) = 1 - (-168) = 1 + 168 = 169.

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Q. What is the discriminant of the quadratic equation

7 x^{2}-x-6=0

\newline

169

\newline

167

\newline

-169

\newline

-167

Identify coefficients: Identify the coefficients of the quadratic equation. $\newline$ The standard form of a quadratic equation is $ax^2 + bx + c = 0$ . In the equation $7x^2 - x - 6 = 0$ , the coefficients are: $\newline$ a = $7$ , b = $-1$ , and c = $-6$ .
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 coefficients: Substitute the coefficients into the discriminant formula. $\newline$ Using the coefficients from Step $1$ , we substitute them into the formula: $\newline$ $D = (-1)^2 - 4(7)(-6)$ .
Calculate discriminant: Calculate the discriminant. $D = 1 - 4(7)(-6) = 1 - (-168) = 1 + 168 = 169$ .