SOLUTION: Solve the equation Z² + (i√32)Z - 60 = 0

Algebra ->  Finance -> SOLUTION: Solve the equation Z² + (i√32)Z - 60 = 0      Log On


   

Question 1196234: Solve the equation Z² + (i√32)Z - 60 = 0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Z%5E2%2B%28i%2Asqrt%2832%29%29%2AZ+-60+=+0....use quadratic formula


Z=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

in your case a=1, b=i%2Asqrt%2832%29, and c=-60




Z=%28-i%2Asqrt%2832%29%2B-sqrt%28i%5E2%2A32%2B240%29%29%2F2

Z=%28-i%2Asqrt%2832%29%2B-sqrt%28-1%2A32%2B240%29%29%2F2

Z=%28-i%2Asqrt%2832%29%2B-sqrt%28-32%2B240%29%29%2F2

Z=%28-i%2Asqrt%2832%29%2B-sqrt%28208%29%29%2F2

Z=%28-i%2A4+sqrt%282%29%2B-4sqrt%2813%29%29%2F2

Z=-i%2A2sqrt%282%29%2B-2sqrt%2813%29


exact solutions:

Z=2sqrt%2813%29-2i%2Asqrt%282%29
or
Z=-2sqrt%2813%29-2i%2Asqrt%282%29