Find the discriminant. 7w^2 + 5w + 8 = 0 ____

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation 7w^2 + 5w + 8 = 0 by comparing it to the standard form ax^2 + bx + c = 0. Here, a = 7, b = 5, and c = 8.Recall 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 * 7 * 8.Calculate discriminant: Calculate the discriminant: D = 25 - 4 * 7 * 8.Perform multiplication: Perform the multiplication and subtraction to find the value of the discriminant: D = 25 - 224.Complete calculation: Complete the calculation to get the final value of the discriminant: D = -199.

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Find the discriminant. $\newline$ $7w^2 + 5w + 8 = 0$

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

7w^2 + 5w + 8 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation $7w^2 + 5w + 8 = 0$ by comparing it to the standard form $ax^2 + bx + c = 0$ . Here, $a = 7$ , $b = 5$ , and $c = 8$ .
Recall 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: $D = (5)^2 - 4 \times 7 \times 8$ .
Calculate discriminant: Calculate the discriminant: $D = 25 - 4 \times 7 \times 8$ .
Perform multiplication: Perform the multiplication and subtraction to find the value of the discriminant: $D = 25 - 224$ .
Complete calculation: Complete the calculation to get the final value of the discriminant: $D = -199$ .