Question

X^2 +x+1 <0 solve this inequality plz.

If u know then only answer it otherwise leave it ☺

Answer 1

for the quadratic expression x² + x + 1 :

b² - 4ac = 1 - 4 = -3 which is less than zero ⇒ it does not have real roots

the roots of x² + x + 1 are (-1 - i√3)/2 and (-1 + i√3)/2

given that x² + x + 1 < 0

⇒ (-1 - i√3)/2 < x < (-1 + i√3)/2