Find the discriminant. 3w^2 - 7w + 3 = 0 ____

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation 3w^2 - 7w + 3 = 0 by comparing it to the standard form ax^2 + bx + c = 0. For our equation, a = 3, b = -7, and c = 3.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 = (-7)^2 - 4 * 3 * 3.Calculate discriminant: Calculate the discriminant: D = 49 - 4 * 3 * 3.Continue calculation: Continue the calculation: D = 49 - 36.Finish calculation: Finish the calculation to find the value of the discriminant: D = 13.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the discriminant. $\newline$ $3w^2 - 7w + 3 = 0$

View step-by-step help

Home

Math Problems

Algebra 1

Using the discriminant

Full solution

Q. Find the discriminant.

\newline

3w^2 - 7w + 3 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation $3w^2 - 7w + 3 = 0$ by comparing it to the standard form $ax^2 + bx + c = 0$ . For our equation, $a = 3$ , $b = -7$ , and $c = 3$ .
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: $D = (-7)^2 - 4 \cdot 3 \cdot 3$ .
Calculate discriminant: Calculate the discriminant: $D = 49 - 4 \times 3 \times 3$ .
Continue calculation: Continue the calculation: $D = 49 - 36$ .
Finish calculation: Finish the calculation to find the value of the discriminant: $D = 13$ .