Find the discriminant. 2q^2 + 8q + 8 = 0 ____

Identify values: Identify the values of a, b, and c from the quadratic equation in the form ax^2 + bx + c = 0. Here, the quadratic equation is 2q^2 + 8q + 8 = 0. Comparing this with the standard form, we get: a = 2 b = 8 c = 8Use discriminant formula: Use the discriminant formula D = b^2 - 4ac to find the discriminant of the quadratic equation. Substitute the identified values of a, b, and c into the formula. D = (8)^2 - 4 * 2 * 8Calculate discriminant: Calculate the discriminant. D = 64 - 4 * 2 * 8 D = 64 - 64 D = 0

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

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

2q^2 + 8q + 8 = 0

Identify values: Identify the values of $a$ , $b$ , and $c$ from the quadratic equation in the form $ax^2 + bx + c = 0$ . Here, the quadratic equation is $2q^2 + 8q + 8 = 0$ . Comparing this with the standard form, we get: $a = 2$ $b = 8$ $c = 8$
Use discriminant formula: Use the discriminant formula $D = b^2 - 4ac$ to find the discriminant of the quadratic equation. $\newline$ Substitute the identified values of $a$ , $b$ , and $c$ into the formula. $\newline$ $D = (8)^2 - 4 \times 2 \times 8$
Calculate discriminant: Calculate the discriminant. $\newline$ $D = 64 - 4 \times 2 \times 8$ $\newline$ $D = 64 - 64$ $\newline$ $D = 0$