Find the discriminant. 8r^2 + 8r - 5 = 0 ____

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation 8r^2 + 8r - 5 = 0 by comparing it to the standard form ax^2 + bx + c = 0. a = 8 b = 8 c = -5Calculate discriminant: Use the discriminant formula D = b^2 - 4ac to calculate the discriminant of the quadratic equation. Substitute the identified values into the formula: D = (8)^2 - 4 * 8 * (-5)Perform calculations: Perform the calculations to find the value of the discriminant. D = 64 - (-160) D = 64 + 160 D = 224

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the discriminant. $\newline$ $8r^2 + 8r - 5 = 0$

View step-by-step help

Home

Math Problems

Algebra 1

Using the discriminant

Full solution

Q. Find the discriminant.

\newline

8r^2 + 8r - 5 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation $8r^2 + 8r - 5 = 0$ by comparing it to the standard form $ax^2 + bx + c = 0$ . $\newline$ $a = 8$ $\newline$ $b = 8$ $\newline$ $c = -5$
Calculate discriminant: Use the discriminant formula $D = b^2 - 4ac$ to calculate the discriminant of the quadratic equation. $\newline$ Substitute the identified values into the formula: $\newline$ $D = (8)^2 - 4 \times 8 \times (-5)$
Perform calculations: Perform the calculations to find the value of the discriminant. $\newline$ $D = 64 - (-160)$ $\newline$ $D = 64 + 160$ $\newline$ $D = 224$