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

Identify coefficients: Identify the coefficients a, b, and c in the quadratic equation r^2 + 6r + 9 = 0 by comparing it to the standard form ax^2 + bx + c = 0. For our equation, a = 1, b = 6, and c = 9.Recall discriminant 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 = (6)^2 - 4 * 1 * 9.Calculate discriminant: Calculate the discriminant using the substituted values. D = 36 - 4 * 1 * 9. D = 36 - 36. D = 0.

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

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

r^2 + 6r + 9 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ in the quadratic equation $r^2 + 6r + 9 = 0$ by comparing it to the standard form $ax^2 + bx + c = 0$ . For our equation, $a = 1$ , $b = 6$ , and $c = 9$ .
Recall discriminant 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, $D = (6)^2 - 4 \times 1 \times 9$ .
Calculate discriminant: Calculate the discriminant using the substituted values. $\newline$ $D = 36 - 4 \times 1 \times 9$ . $\newline$ $D = 36 - 36$ . $\newline$ $D = 0$ .