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Find the discriminant. $\newline$ $2q^2 - 9q + 8 = 0$ $\newline$ ______

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Using the discriminant

Full solution

Q. Find the discriminant.

\newline

2q^2 - 9q + 8 = 0

\newline

______

Identify coefficients: Identify the coefficients of the quadratic equation. $\newline$ The quadratic equation is in the form $ax^2 + bx + c = 0$ . For the equation $2q^2 - 9q + 8 = 0$ , the coefficients are: $\newline$ $a = 2$ $\newline$ $b = -9$ $\newline$ $c = 8$
Calculate discriminant: Calculate the discriminant using the formula $D = b^2 - 4ac$ . $\newline$ Substitute the identified values into the formula: $\newline$ $D = (-9)^2 - 4 \times 2 \times 8$
Perform calculations: Perform the calculations to find the value of the discriminant. $\newline$ $D = 81 - 4 \times 2 \times 8$ $\newline$ $D = 81 - 64$ $\newline$ $D = 17$

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