2x2+x+4=0 2x2+x = -4 x2+x2+14 = -2+14 (x+12)2 = −74 (x + 12) = ±√−72 x = √−72-12=√-7-12
as there is negative sign present in the root, the roots are not real.
By using the method of completing the square, show that the equation 2x2+x+4=0 has no real roots.