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

Identify values: Identify the values of a, b, and c from the quadratic equation ax^2 + bx + c = 0 by comparing it to 3x^2 + 6x + 3 = 0. Here, a = 3, b = 6, and c = 3.Recall formula: Recall the formula for the discriminant of a quadratic equation, which is D = b^2 - 4ac. We will substitute the identified values of a, b, and c into this formula to find the discriminant.Substitute values: Substitute 3 for a, 6 for b, and 3 for c in the discriminant formula D = b^2 - 4ac. Calculate the discriminant: D = (6)^2 - 4 * 3 * 3.Calculate discriminant: Simplify the discriminant calculation. D = 36 - 4 * 3 * 3 D = 36 - 36 D = 0

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

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

3x^2 + 6x + 3 = 0

Identify values: Identify the values of $a$ , $b$ , and $c$ from the quadratic equation $ax^2 + bx + c = 0$ by comparing it to $3x^2 + 6x + 3 = 0$ . $\newline$ Here, $a = 3$ , $b = 6$ , and $c = 3$ .
Recall formula: Recall the formula for the discriminant of a quadratic equation, which is $D = b^2 - 4ac$ . We will substitute the identified values of $a$ , $b$ , and $c$ into this formula to find the discriminant.
Substitute values: Substitute $3$ for $a$ , $6$ for $b$ , and $3$ for $c$ in the discriminant formula $D = b^2 - 4ac$ . $\newline$ Calculate the discriminant: $D = (6)^2 - 4 \times 3 \times 3$ .
Calculate discriminant: Simplify the discriminant calculation. $\newline$ $D = 36 - 4 \times 3 \times 3$ $\newline$ $D = 36 - 36$ $\newline$ $D = 0$