Question

Comment on the nature of the roots of the equation $2x^2–6x+8=0$

• A. None of the above
• B. Real and equal
• C. Imaginary
• D. Real and unequal

Answer 1

The correct option is C

Imaginary

Step 1:- Given: $2x^2–6x+8=0$, $\Rightarrow a=2,b=-6,c=8$
$D=(-6{)}^2–4(2\left)\right(8)=36-64=-28$. [ $D=b^2-4ac$]
Step 2:- Since $D<0$, the roots are imaginary.