Question

How do you solve `x^2+x+1=0`?

Answer 1

x = `(-1 ± isqrt(3))/2`

Explanation:

Use the quadratic formula :
x = `(-b ± sqrt(b^2 - 4ac))/(2a)`

x = `(-1 ± sqrt(1 - 4(1)(1)))/(2(1))`

x = `(-1 ± sqrt(-3))/2`

x = `(-1 ± isqrt(3))/2`