Find the discriminant. 3x^2 + 2x + 5 = 0 ____

Identify values: Identify the values of a, b, and c by comparing the given quadratic equation 3x^2 + 2x + 5 = 0 with the standard form ax^2 + bx + c = 0. Here, a = 3, b = 2, and c = 5.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 = (2)^2 - 4 * 3 * 5.Perform calculations: Perform the calculations to find the value of the discriminant. D = 4 - 4 * 3 * 5 D = 4 - 60 D = -56

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Find the discriminant. $\newline$ $3x^2 + 2x + 5 = 0$

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

3x^2 + 2x + 5 = 0

Identify values: Identify the values of $a$ , $b$ , and $c$ by comparing the given quadratic equation $3x^2 + 2x + 5 = 0$ with the standard form $ax^2 + bx + c = 0$ . Here, $a = 3$ , $b = 2$ , and $c = 5$ .
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, $D = (2)^2 - 4 \times 3 \times 5$ .
Perform calculations: Perform the calculations to find the value of the discriminant. $\newline$ $D = 4 - 4 \times 3 \times 5$ $\newline$ $D = 4 - 60$ $\newline$ $D = -56$