Question

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

Answer 1

Way 1
3x^2x = -2
3x^2 - 10x + 2 = 0
Δ= (-10)^2 - 4 * 3 * 2 = 100 - 24 = 76


√Δ = 2√19
x1 = (10 - 2√19)/6 = (5 - √19)/3
x2 = (10 + 2√19)/6 = (5 + √19)/3

Answer 2

76

Explanation:

The discriminant of the quadratic equation
`ax^2+bx+c=0` is given by

`D=b^2-4ac`

The given equation is

`3x^2-10x=-2\\\\3x^2-10x+2`

Here, a = 3, b = -10 and c = 2

Therefore, discriminant is given by

`D=(-10)^2-4(3)(2)\\\\D=100-24\\\\D=76`

Therefore, the discriminant of the given equation is 76.