Find the discriminant. z^2 + 4z + 4 = 0 ____

Identify values: Identify the values of a, b, and c by comparing the given equation z^2 + 4z + 4 = 0 with the standard form of a quadratic equation ax^2 + bx + c = 0. Here, a = 1, b = 4, and c = 4.Recall formula: Recall the formula for the discriminant of a quadratic equation, which is D = b^2 - 4ac.Substitute values: Substitute the identified values of a, b, and c into the discriminant formula. So, D = (4)^2 - 4 * 1 * 4.Perform calculations: Perform the calculations to find the value of the discriminant. D = 16 - 4 * 1 * 4 D = 16 - 16 D = 0

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Find the discriminant. $\newline$ $z^2 + 4z + 4 = 0$

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

z^2 + 4z + 4 = 0

Identify values: Identify the values of $a$ , $b$ , and $c$ by comparing the given equation $z^2 + 4z + 4 = 0$ with the standard form of a quadratic equation $ax^2 + bx + c = 0$ . Here, $a = 1$ , $b = 4$ , and $c = 4$ .
Recall formula: Recall the formula for the discriminant of a quadratic equation, which is $D = b^2 - 4ac$ .
Substitute values: Substitute the identified values of $a$ , $b$ , and $c$ into the discriminant formula. $\newline$ So, $D = (4)^2 - 4 \times 1 \times 4$ .
Perform calculations: Perform the calculations to find the value of the discriminant. $\newline$ $D = 16 - 4 \times 1 \times 4$ $\newline$ $D = 16 - 16$ $\newline$ $D = 0$