Question

What is the value of the discriminant for the quadratic equation 0 = 2x2 + x - 3?

Answer 1

Answer:

$25$

Step-by-step explanation:

$\text{Given that,}\\\\2x^2 +x -3 =0\\\\\text{By comparing the equation with the standard form}~ ax^2 +bx+c = 0,~ \text{we get}\\ \\a = 2,~ b = 1~ \text{and}~ c = -3\\\\\text{Discriminant} = b^2 -4ac\\\\~~~~~~~~~~~~~~~~~~=1^2 -4 \cdot 2 \cdot (-3)\\\\~~~~~~~~~~~~~~~~~~=1+24\\\\~~~~~~~~~~~~~~~~~~=25$