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

1 Answer
Nghi N.
Apr 26, 2016

(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.

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