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Find the discriminant. $\newline$ $8z^2 + 8z + 2 = 0$

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Using the discriminant

Full solution

Q. Find the discriminant.

\newline

8z^2 + 8z + 2 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation $8z^2 + 8z + 2 = 0$ by comparing it to the standard form $ax^2 + bx + c = 0$ . $\newline$ $a = 8$ $\newline$ $b = 8$ $\newline$ $c = 2$
Calculate discriminant: Use the discriminant formula $D = b^2 - 4ac$ to calculate the discriminant of the quadratic equation. $\newline$ Substitute the identified values into the formula: $\newline$ $D = 8^2 - 4 \times 8 \times 2$
Find value: Perform the calculations to find the value of the discriminant. $\newline$ $D = 64 - 4 \times 8 \times 2$ $\newline$ $D = 64 - 64$ $\newline$ $D = 0$

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