Question

The roots of the equation $2x^2-7x+14=0$ are ___________

• A. Real and equal
• B. Real and unequal
• C. Imaginary
• D. Greater than zero

Answer 1

The correct option is C Imaginary

Discriminant of the given equation,
$D=b^2-4ac=(-7{)}^2-(4\times 2\times 14)$
= 49 -112 = -63
Since D < 0 , both the roots of $2x^2-7x+14=0$ are imaginary.