At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

What is the value of the discriminant for the quadratic equation [tex]0 = 2x^2 + x - 3[/tex]?

Discriminant [tex]= b^2 - 4ac[/tex]

A. [tex]-25[/tex]
B. [tex]-23[/tex]
C. [tex]25[/tex]
D. [tex]26[/tex]


Sagot :

To determine the value of the discriminant for the quadratic equation [tex]\(0 = 2x^2 + x - 3\)[/tex], we follow these steps:

1. Identify the coefficients [tex]\(a\)[/tex], [tex]\(b\)[/tex], and [tex]\(c\)[/tex] from the given quadratic equation. The equation is [tex]\(2x^2 + x - 3 = 0\)[/tex].
- Here, [tex]\(a = 2\)[/tex], [tex]\(b = 1\)[/tex], and [tex]\(c = -3\)[/tex].

2. Use the formula for the discriminant of a quadratic equation, which is given by:
[tex]\[ \Delta = b^2 - 4ac \][/tex]

3. Substitute the values of [tex]\(a\)[/tex], [tex]\(b\)[/tex], and [tex]\(c\)[/tex] into the discriminant formula:
[tex]\[ \Delta = (1)^2 - 4 \cdot 2 \cdot (-3) \][/tex]

4. Perform the calculations step-by-step:
[tex]\[ \Delta = 1 - (4 \cdot 2 \cdot -3) \][/tex]
[tex]\[ \Delta = 1 - (-24) \][/tex]
[tex]\[ \Delta = 1 + 24 \][/tex]
[tex]\[ \Delta = 25 \][/tex]

Therefore, the value of the discriminant for the quadratic equation [tex]\(0 = 2x^2 + x - 3\)[/tex] is [tex]\( \boxed{25} \)[/tex].
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.