SOLUTION: solve p^2+p+4=0

Algebra ->  Absolute-value -> SOLUTION: solve p^2+p+4=0      Log On


   

Question 669667: solve p^2+p+4=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the quadratic formula to solve for p

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

p+=+%28-%281%29%2B-sqrt%28%281%29%5E2-4%281%29%284%29%29%29%2F%282%281%29%29

p+=+%28-1%2B-sqrt%281-%2816%29%29%29%2F%282%29

p+=+%28-1%2B-sqrt%28-15%29%29%2F2

p+=+%28-1%2Bsqrt%28-15%29%29%2F2 or p+=+%28-1-sqrt%28-15%29%29%2F2

p+=+%28-1%2Bi%2Asqrt%2815%29%29%2F2 or p+=+%28-1-i%2Asqrt%2815%29%29%2F2

Note: if you have NOT learned about complex/imaginary numbers yet, then you will simply say that there are no real solutions.