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

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation 5x^2 - 5x + 2 = 0 by comparing it to the standard form ax^2 + bx + c = 0. Here, a = 5, b = -5, and c = 2.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 into the discriminant formula: D = (-5)^2 - 4 * 5 * 2.Calculate discriminant: Calculate the discriminant: D = 25 - 40.Simplify result: Simplify the result to find the value of the discriminant: D = 25 - 40 = -15.

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

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

5x^2 - 5x + 2 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation $5x^2 - 5x + 2 = 0$ by comparing it to the standard form $ax^2 + bx + c = 0$ . Here, $a = 5$ , $b = -5$ , and $c = 2$ .
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 into the discriminant formula: $D = (-5)^2 - 4 \times 5 \times 2$ .
Calculate discriminant: Calculate the discriminant: $D = 25 - 40$ .
Simplify result: Simplify the result to find the value of the discriminant: $D = 25 - 40 = -15$ .