Question

The roots of $2x^2–6x+8=0$ are ___________.

• 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.