Find the discriminant. 3u^2 + 9u + 6 = 0 ____

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation 3u^2 + 9u + 6 = 0 by comparing it to the standard form ax^2 + bx + c = 0. Here, a = 3, b = 9, and c = 6.Calculate discriminant: Calculate the discriminant using the formula D = b^2 - 4ac. Substitute the identified values into the formula: D = (9)^2 - 4 * 3 * 6.Perform calculations: Perform the calculations: D = 81 - 4 * 3 * 6. First, calculate 4 * 3 * 6 = 12 * 6 = 72. Then, subtract this from 81: D = 81 - 72.Find discriminant: Complete the subtraction to find the discriminant: D = 81 - 72 = 9.

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Find the discriminant. $\newline$ $3u^2 + 9u + 6 = 0$

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

3u^2 + 9u + 6 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation $3u^2 + 9u + 6 = 0$ by comparing it to the standard form $ax^2 + bx + c = 0$ . Here, $a = 3$ , $b = 9$ , and $c = 6$ .
Calculate discriminant: Calculate the discriminant using the formula $D = b^2 - 4ac$ . Substitute the identified values into the formula: $D = (9)^2 - 4 \times 3 \times 6$ .
Perform calculations: Perform the calculations: $D = 81 - 4 \times 3 \times 6$ . First, calculate $4 \times 3 \times 6 = 12 \times 6 = 72$ . Then, subtract this from $81$ : $D = 81 - 72$ .
Find discriminant: Complete the subtraction to find the discriminant: $D = 81 - 72 = 9$ .