how do I discuss or describe the nature of the roots for this equation: 3x^2 - 5x = 2

2 answers

For ax^2 + bx + c = 0
the sum of the roots = -b/a
the product of the roots = c/a

so for 3x^2 - 5x - 2 = 0

the sum of the roots = ....
the product of the roots = ....
That is a quadratic.
Do you know how to use the quadratic equation to solve
3 x^2 - 5 x - 2 = 0 ?
If not factor
(3x + 1)(x-2) = 0
that is true if
x = 2
or if
x = -1/3