Question

x²+x+1=0,Find the discriminant of the given quadratic equations and discuss the nature of the roots.

Answer 1

Given,
The equation is
$x {}^{2} + x + 1 = 0$
Here,
a=1
b=1
c=1
•°• Discriminant is
$b {}^{2} - 4ac = 1 {}^{2} - 4.1.1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1 - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 3 \: < 0$
Hence the nature of roots are imaginary and unequal.