Find the discriminant. p^2 + 9p + 3 = 0 ____

Identify values of a, b, c: Identify the values of a, b, and c by comparing the given quadratic equation p^2 + 9p + 3 = 0 with the standard form ax^2 + bx + c = 0. Here, a = 1, b = 9, and c = 3.Use discriminant formula: Use the discriminant formula D = b^2 - 4ac to find the discriminant of the quadratic equation. Substitute 1 for a, 9 for b, and 3 for c into the formula. D = (9)^2 - 4 * 1 * 3Calculate discriminant: Calculate the discriminant. D = 81 - 4 * 3 D = 81 - 12 D = 69

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the discriminant. $\newline$ $p^2 + 9p + 3 = 0$

View step-by-step help

Home

Math Problems

Algebra 1

Using the discriminant

Full solution

Q. Find the discriminant.

\newline

p^2 + 9p + 3 = 0

Identify values of $a$ , $b$ , $c$ : Identify the values of $a$ , $b$ , and $c$ by comparing the given quadratic equation $p^2 + 9p + 3 = 0$ with the standard form $ax^2 + bx + c = 0$ . Here, $a = 1$ , $b = 9$ , and $b$ $0$ .
Use discriminant formula: Use the discriminant formula $D = b^2 - 4ac$ to find the discriminant of the quadratic equation. $\newline$ Substitute $1$ for $a$ , $9$ for $b$ , and $3$ for $c$ into the formula. $\newline$ $D = (9)^2 - 4 \times 1 \times 3$
Calculate discriminant: Calculate the discriminant. $\newline$ $D = 81 - 4 \times 3$ $\newline$ $D = 81 - 12$ $\newline$ $D = 69$