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What is the discriminant of the quadratic equation
-7x^(2)-2x-1=0 ?

-24

-32
24
32

What is the discriminant of the quadratic equation $-7 x^{2}-2 x-1=0$ ? $\newline$ $-24$ $\newline$ $-32$ $\newline$ $24$ $\newline$ $32$

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Transformations of functions

Full solution

Q. What is the discriminant of the quadratic equation

-7 x^{2}-2 x-1=0

?

\newline

-24

\newline

-32

\newline

24

\newline

32

Identify Coefficients: The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by the formula $D = b^2 - 4ac$ . We need to identify the coefficients $a$ , $b$ , and $c$ from the given quadratic equation and then apply the formula.
Given Quadratic Equation: The given quadratic equation is $-7x^2 - 2x - 1 = 0$ . Here, the coefficient $a$ is $-7$ , the coefficient $b$ is $-2$ , and the coefficient $c$ is $-1$ .
Calculate Discriminant: Now we will calculate the discriminant using the formula $D = b^2 - 4ac$ . Substituting the values of $a$ , $b$ , and $c$ , we get $D = (-2)^2 - 4(-7)(-1)$ .
Final Result: Calculating the discriminant, $D = 4 - 4(7)(1) = 4 - 28 = -24$ .

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\newline

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