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What is the discriminant of the quadratic equation
-x^(2)+5x-2=0 ?

-17
17
33

-33

What is the discriminant of the quadratic equation $-x^{2}+5 x-2=0$ ? $\newline$ $-17$ $\newline$ $17$ $\newline$ $33$ $\newline$ $-33$

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Find the magnitude of a vector

Full solution

Q. What is the discriminant of the quadratic equation

-x^{2}+5 x-2=0

?

\newline

-17

\newline

17

\newline

33

\newline

-33

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 equation. $\newline$ In the equation $-x^2 + 5x - 2 = 0$ , $a = -1$ , $b = 5$ , and $c = -2$ .
Calculate Discriminant: Now we will calculate the discriminant using the formula $D = b^2 - 4ac$ with the identified coefficients. $D = (5)^2 - 4\cdot(-1)\cdot(-2)$
Perform Calculations: Perform the calculations inside the parentheses and the multiplication. $D = 25 - 4 \times 1 \times 2$
Subtract Product: Now, we will subtract the product from the square of $b$ . $D = 25 - 8$
Find Value: Finally, we will find the value of the discriminant. $\newline$ $D = 17$

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