How do you solve -5m ^ { 2} + 2m + 39= 0?

1 Answer
Sep 11, 2017

1/5±(2i)/5sqrt194

Explanation:

Let's use the quadratic formula.

x=(-b±sqrt(b^2-4ac))/(2a)

a = -5
b=2
c=39

Let's plug the numbers in and solve

x=(-(2)±sqrt((2)^2-4(5)(39)))/(2*(-5)) ->

x=(-2±sqrt(4-780))/-10 ->

(-2±sqrt(-776))/-10 ->

(-2±4isqrt194)/-10 ->

1/5±(2i)/5sqrt194

You get imaginary roots for this equation. If you have not learned about imaginary roots/numbers, the answer would be that there are no roots.