Question

Determine whether x2+x+1=0 are real roots .If so find them.

Answer 1

2x+x+1=0

3x+1=0

here,a=0,b=3,c=1

therefore,d=b²-4ac

d=3²-4*1*0

d=9-0

d=9

hence,2x+x+1 are real roots and rational too.

and the root is 9.

Answer 2

Let a=2,b=1 & c=1.

Then, discriminant=√b²-4ac

=√1²-4×2×1

=√-7

<0

Therefore the given equation doesn't have real roots.