Find the discriminant. 7x^2 - x + 9 = 0 ____

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation in the form ax^2 + bx + c = 0. For the equation 7x^2 - x + 9 = 0, we have: a = 7 b = -1 c = 9Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is D = b^2 - 4ac.Substitute values into formula: Substitute the identified values of a, b, and c into the discriminant formula. D = (-1)^2 - 4 * 7 * 9Calculate discriminant: Calculate the discriminant. D = 1 - 4 * 7 * 9 D = 1 - 28 * 9 D = 1 - 252 D = -251

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the discriminant. $\newline$ $7x^2 - x + 9 = 0$

View step-by-step help

Home

Math Problems

Algebra 1

Using the discriminant

Full solution

Q. Find the discriminant.

\newline

7x^2 - x + 9 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation in the form $ax^2 + bx + c = 0$ . For the equation $7x^2 - x + 9 = 0$ , we have: $a = 7$ $b = -1$ $c = 9$
Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is $D = b^2 - 4ac$ .
Substitute values into formula: Substitute the identified values of $a$ , $b$ , and $c$ into the discriminant formula. $D = (-1)^2 - 4 \times 7 \times 9$
Calculate discriminant: Calculate the discriminant. $\newline$ $D = 1 - 4 \times 7 \times 9$ $\newline$ $D = 1 - 28 \times 9$ $\newline$ $D = 1 - 252$ $\newline$ $D = -251$