Question

How do you solve `3m^2 - 7m = 3` using the quadratic formula?

Answer 1

`(7 + sqrt85)/6`

Explanation:

`y = 3m^2 - 7m - 3 = 0`
Use the improved quadratic formula (Socratic Search)
`D = d^2 = b^2 - 4ac = 49 + 36 = 85` --> `d = +- sqrt85`
There are 2 real roots:

`x = -b/(2a) +- d/(2a) = 7/6 +- sqrt85/6 = (7 + sqrt85)/6`

NOTE
Using the improved quadratic formula is simpler and easier in computing the results.