Find the discriminant. 5p^2 + 8p + 6 = 0 ____

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation 5p^2 + 8p + 6 = 0 by comparing it to the standard form ax^2 + bx + c = 0. Here, a = 5, b = 8, and c = 6.Recall formula for discriminant: Recall the formula for the discriminant of a quadratic equation, which is D = b^2 - 4ac.Substitute values into formula: Substitute the identified values into the discriminant formula: D = 8^2 - 4 * 5 * 6.Calculate discriminant: Calculate the discriminant: D = 64 - 4 * 5 * 6.Continue calculation: Continue the calculation: D = 64 - 120.Finish calculation: Finish the calculation to find the discriminant: D = -56.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the discriminant. $\newline$ $5p^2 + 8p + 6 = 0$

View step-by-step help

Home

Math Problems

Algebra 1

Using the discriminant

Full solution

Q. Find the discriminant.

\newline

5p^2 + 8p + 6 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation $5p^2 + 8p + 6 = 0$ by comparing it to the standard form $ax^2 + bx + c = 0$ . Here, $a = 5$ , $b = 8$ , and $c = 6$ .
Recall formula for discriminant: Recall the formula for the discriminant of a quadratic equation, which is $D = b^2 - 4ac$ .
Substitute values into formula: Substitute the identified values into the discriminant formula: $D = 8^2 - 4 \times 5 \times 6$ .
Calculate discriminant: Calculate the discriminant: $D = 64 - 4 \times 5 \times 6$ .
Continue calculation: Continue the calculation: $D = 64 - 120$ .
Finish calculation: Finish the calculation to find the discriminant: $D = -56$ .