1.

Show that x^2+x+1=0 has no real roots

Answer»

We have equation...

X^2+x+1=0

or x^2 +2(x)(1/2) +1/4 - 1/4 +1=0

or (x+1/2)^2 -1/4 +4/4=0

or (x+1/2)^2+3/4=0
=> (x+1/2)^2=-3/4
=> x=+-√(-3/4) -1/2
It SHOWS that x is not REAL.


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