Question

Solve for all complex solutions: 4m^2+8m+5=0 how do I solve?

Answer 1

`m = -1+i/2\ or-1-i/2`

Explanation:

Just use quadratic formula `m={-bpmsqrt{b^2-4ac}}/{2a}`

Here we have `a = 4, b = 8, c=5` So plug these:

`m={-8pmsqrt{8^2-4(4)(5)}}/{2*4} = {-8pmsqrt{64-80}}/{8}={-8pmsqrt{-16}}/{8} = {-8pm4i}/{8}=-1pmi/2`