Find the discriminant. x^2 + 4x - 2 = 0 ____

Identify values: Identify the values of a, b, and c by comparing the given equation x^2 + 4x - 2 = 0 with the standard quadratic equation form ax^2 + bx + c = 0. Here, a = 1, b = 4, and c = -2.Use discriminant formula: Use the discriminant formula D = b^2 - 4ac to find the discriminant of the quadratic equation. Substitute 1 for a, 4 for b, and -2 for c in the formula. D = (4)^2 - 4 * 1 * (-2)Calculate discriminant: Calculate the discriminant. D = 16 - 4 * 1 * (-2) D = 16 + 8 D = 24

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

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

x^2 + 4x - 2 = 0

Identify values: Identify the values of $a$ , $b$ , and $c$ by comparing the given equation $x^2 + 4x - 2 = 0$ with the standard quadratic equation form $ax^2 + bx + c = 0$ . Here, $a = 1$ , $b = 4$ , and $c = -2$ .
Use discriminant formula: Use the discriminant formula $D = b^2 - 4ac$ to find the discriminant of the quadratic equation. $\newline$ Substitute $1$ for $a$ , $4$ for $b$ , and $-2$ for $c$ in the formula. $\newline$ $D = (4)^2 - 4 \times 1 \times (-2)$
Calculate discriminant: Calculate the discriminant. $\newline$ $D = 16 - 4 \times 1 \times (-2)$ $\newline$ $D = 16 + 8$ $\newline$ $D = 24$