Question

Find the discriminant of 3x^2 - 10x = -2.

Answer 1

Answer: 76..............

Explanation:

Answer 2

For any quadratic equation:
`ax^2+bx+c =0` ....[1]

then;

the discriminant is given by:

`D = b^2-4ac`

Given the equation:
`3x^2-10x=-2`

we can rewrite this equation as:
`3x^2-10x+2=0`

On comparing the given equation with equation [1] we have;

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

then;

`D = (-10)^2-4(3)(2)`

or

`D = 100-24 = 76`

therefore, the discriminant of
`3x^2-10x=-2` is 76