Answer:
76
Step-by-step explanation:
Discriminant is given by the formula [tex]b^2 -4ac[/tex]
Where a is the coefficient of x^2 and b is the coefficient of x and c is the constant term when the quadratic is arranged in the form of [tex]ax^2+bx+c[/tex]
Let's rearrange the given equation:
[tex]3x^2-10x=-2\\3x^2-10x+2=0[/tex]
So a = 3
b = -10
c = 2
Plugging into formula we have the discriminant as:
[tex]b^2-4ac\\(-10)^2-4(3)(2)\\100-24\\76[/tex]
THe discriminant is 76
