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What is the discriminant of the quadratic equation
-x^(2)+4x-7=0 ?
12
44

-44

-12

What is the discriminant of the quadratic equation $-x^{2}+4 x-7=0$ ? $\newline$ $12$ $\newline$ $44$ $\newline$ $-44$ $\newline$ $-12$

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Using the discriminant

Full solution

Q. What is the discriminant of the quadratic equation

-x^{2}+4 x-7=0

?

\newline

12

\newline

44

\newline

-44

\newline

-12

Identify values: Identify the values of $a$ , $b$ , and $c$ in the quadratic equation $-x^2 + 4x - 7 = 0$ by comparing it to the standard form $ax^2 + bx + c = 0$ . Here, $a = -1$ , $b = 4$ , and $c = -7$ .
Calculate discriminant: Calculate the discriminant using the formula $D = b^2 - 4ac$ with the values of $a$ , $b$ , and $c$ identified in the previous step. $\newline$ $D = 4^2 - 4(-1)(-7)$
Simplify calculation: Simplify the discriminant calculation. $\newline$ $D = 16 - 4*(-1)*(-7)$ $\newline$ $D = 16 - 4*1*7$ $\newline$ $D = 16 - 28$ $\newline$ $D = -12$

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