
Arturo O. answered 08/29/17
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Use the quadratic equation.
5m2 + 8m + 1 = 0
a = 5
b = 8
c = 1
x = [1/(2a)] [-b ± √(b2 - 4ac)]
Just plug in the values and simplify. Note that
b2 - 4ac = 82 - 4(5)1 = 64 - 20 = 44 > 0,
so you will get 2 real solutions.