Question

How do you find the value of the discriminant and state the type of solutions given `9m^2+6m+6=5`?

Answer 1

Double root at `x = - 1/3`

Explanation:

Bring the equation to standard form:
`9m^2 + 6m + 1 = 0`
Discriminant `D = d^2 = b^2 - 4ac = 36 - 36 = 0`
There is double-root at `x = -b/(2a) = -6/18 = -1/3`