Question

Find the nature of roots and hence solve $2x^2–6x+8=0$

• A. real, unequal and rational
• B. real, unequal and irrational
• C. real and equal
• D. imaginary

Answer 1

The correct option is D

imaginary

Step 1:- For $2x^2–6x+8=0$,
value of discriminant

$D=(-6{)}^2–4(2\left)\right(8)=36-64=-28$.

Step 2:- Since $D<0$, roots are imaginary.