The roots of 2x2–6x+8=0 are :
real, unequal and rational
real, unequal and irrational
real and equal
imaginary
For an equation ax2+bx+c, discriminant D = b2−4ac
For 2x2–6x+8=0, D=(−6)2–4(2)(8)=36−64=−28.
Since D<0, roots are imaginary.
The roots of 2x2–6x+8=0 are imaginary.
Comment on the nature of the roots of the equation 2x2–6x+8=0