State the value of the discriminant of - 6x^2 + 2x + 3 = 0

76

Step-by-step explanation:

recall that for a quadratic equation in the form

ax² + bx + c = 0, the discriminant is given by

discriminant, D = b² - 4ac

we are given the following:

-6x² + 2x + 3 = 0,

comparing this with the general equation above, it is clear that,

a = - 6, b = 2 and c = 3,

substituting these into our equation for discriminant:

D = b² - 4ac

= 2² - 4 (-6) (3)

= 4 + 72

= 76