Find the discriminant. z^2 + 6z + 9 = 0 ____

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation in the form ax^2 + bx + c = 0. For the equation z^2 + 6z + 9 = 0, we have: a = 1 (coefficient of z^2) b = 6 (coefficient of z) c = 9 (constant term)Calculate discriminant: Use the discriminant formula D = b^2 - 4ac to calculate the discriminant of the quadratic equation. Substitute the identified values into the formula: D = (6)^2 - 4 * 1 * 9Find value: Perform the calculations to find the value of the discriminant. D = 36 - 4 * 1 * 9 D = 36 - 36 D = 0

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Find the discriminant. $\newline$ $z^2 + 6z + 9 = 0$

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

z^2 + 6z + 9 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation in the form $ax^2 + bx + c = 0$ . For the equation $z^2 + 6z + 9 = 0$ , we have: $a = 1$ (coefficient of $z^2$ ) $b = 6$ (coefficient of $z$ ) $c = 9$ (constant term)
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: $\newline$ $D = (6)^2 - 4 \times 1 \times 9$
Find value: Perform the calculations to find the value of the discriminant. $\newline$ $D = 36 - 4 \times 1 \times 9$ $\newline$ $D = 36 - 36$ $\newline$ $D = 0$