SOLUTION: find the roots of z^2+2z+10=0

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: find the roots of z^2+2z+10=0      Log On


   

Question 944460: find the roots of z^2+2z+10=0
Answer by etutorworld(19) About Me  (Show Source):
You can put this solution on YOUR website!
To find the roots of z^2+2z+10=0 we can use Quadratic Formula
z+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
From the given equation we see that a =1, b = 2 and c =10
z = (-2 + - sqrt(4-40))/ 2.1
= ( -2 + - sqrt(-36))/ 2

= ( -2 + - 6i )/2
The given equation has Complex Roots which are
= ( -1 + 3i ), (-1 - 3i) [Answer]