Answer:
For any quadratic equation: [tex]ax^2+bx+c =0[/tex] ....[1]
then;
the discriminant is given by:
[tex]D = b^2-4ac[/tex]
Given the equation: [tex]3x^2-10x=-2[/tex]
we can rewrite this equation as: [tex]3x^2-10x+2=0[/tex]
On comparing the given equation with equation [1] we have;
a = 3 , b = -10 and c = 2
then;
[tex]D = (-10)^2-4(3)(2)[/tex]
or
[tex]D = 100-24 = 76[/tex]
therefore, the discriminant of [tex]3x^2-10x=-2[/tex] is 76
