# How do you solve the quadratic #x^2+x=-1# using any method?

##### 1 Answer

Aug 14, 2016

Use the quadratic formula to find roots:

#-1/2+-sqrt(3)/2i#

#### Explanation:

If you add

#x^2+x+1=0#

This is in the form

This has roots given by the quadratic formula:

#x = (-b+-sqrt(b^2-4ac))/(2a)#

#=(-1+-sqrt(1^2-4(1)(1)))/(2*1)#

#=(-1+-sqrt(-3))/2#

#=-1/2+-sqrt(3)/2i#