What is the discriminant of 3x2 - 10x = -2?

Question

asked Feb 3, 2020 73.9k views

2 Answers

Erapert · Answer 1 · 2020-02-08T04:47:34+0000

Answer:

76

Explanation:

Discriminant is given by the formula
b^2 -4ac

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
ax^2+bx+c

Let's rearrange the given equation:

$3x^2-10x=-2\\3x^2-10x+2=0$

So a = 3

b = -10

c = 2

Plugging into formula we have the discriminant as:

$b^2-4ac\\(-10)^2-4(3)(2)\\100-24\\76$

THe discriminant is 76