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What is the discriminant of the quadratic equation
2x^(2)-9x-8=0 ?

-17
145
17

-145

What is the discriminant of the quadratic equation $2 x^{2}-9 x-8=0$ ? $\newline$ $-17$ $\newline$ $145$ $\newline$ $17$ $\newline$ $-145$

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Transformations of functions

Full solution

Q. What is the discriminant of the quadratic equation

2 x^{2}-9 x-8=0

?

\newline

-17

\newline

145

\newline

17

\newline

-145

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 calculate the discriminant.
Given Quadratic Equation: The given quadratic equation is $2x^2 - 9x - 8 = 0$ . Here, the coefficient $a$ is $2$ , the coefficient $b$ is $-9$ , and the coefficient $c$ is $-8$ .
Substitute Values: Now we will substitute the values of $a$ , $b$ , and $c$ into the discriminant formula $D = b^2 - 4ac$ . $D = (-9)^2 - 4(2)(-8)$
Calculate Discriminant: Calculate the discriminant using the values of $a$ , $b$ , and $c$ . $D = 81 - 4(2)(-8)$ $D = 81 - (-64)$
Simplify Expression: Simplify the expression to find the value of the discriminant. $\newline$ $D = 81 + 64$ $\newline$ $D = 145$

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\newline

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