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

-169

-167

What is the discriminant of the quadratic equation $7 x^{2}-x-6=0$ ? $\newline$ $169$ $\newline$ $167$ $\newline$ $-169$ $\newline$ $-167$

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Find derivatives using the quotient rule II

Full solution

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. $D = 1 - 4(7)(-6) = 1 - (-168) = 1 + 168 = 169$ .

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