SOLUTION: 80. Find all real or imaginary solutions to each equation. Use the method of your choice. w2=-225 30. Solve each equation by using the quadratic formula. -3x^2-2x-5=0

Algebra ->  Radicals -> SOLUTION: 80. Find all real or imaginary solutions to each equation. Use the method of your choice. w2=-225 30. Solve each equation by using the quadratic formula. -3x^2-2x-5=0      Log On


   



Question 255659: 80. Find all real or imaginary solutions to each equation. Use the method of your choice. w2=-225
30. Solve each equation by using the quadratic formula. -3x^2-2x-5=0

Found 2 solutions by richwmiller, drk:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
w^2=-225
w=-15i
w=15i
where i=sqrt(-1)

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
#80.
since we have a negative sqrt, we get imaginary answers as
w+=+%2B+or+-+15i
--
#30. -3x%5E2-2x-5=0
We can use the quadratic to get:
x+=+%282+%2B+or+-+sqrt%284-4%2A%28-3%29%2A%28-5%29+%29%29%2F6+
and then
x+=+%282+%2B+or+-+sqrt%28-56%29%29%2F6+
and
x+=+%282+%2B+or+-+2isqrt%2813%29%29%2F6+
finally
x+=+%281+%2B+or+-+isqrt%2813%29%29%2F3