Find the discriminant. 8q^2 - 9q + 6 = 0 ____

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation 8q^2 - 9q + 6 = 0 by comparing it to the standard form ax^2 + bx + c = 0. a = 8, b = -9, c = 6Recall 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 = (-9)^2 - 4 * 8 * 6.Calculate discriminant: Calculate the discriminant: D = 81 - 192.Finish calculation: Finish the calculation: D = 81 - 192 = -111.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the discriminant. $\newline$ $8q^2 - 9q + 6 = 0$

View step-by-step help

Home

Math Problems

Algebra 1

Using the discriminant

Full solution

Q. Find the discriminant.

\newline

8q^2 - 9q + 6 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation $8q^2 - 9q + 6 = 0$ by comparing it to the standard form $ax^2 + bx + c = 0$ .
$a = 8$ , $b = -9$ , $c = 6$
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: $D = (-9)^2 - 4 \cdot 8 \cdot 6$ .
Calculate discriminant: Calculate the discriminant: $D = 81 - 192$ .
Finish calculation: Finish the calculation: $D = 81 - 192 = -111$ .