Question

The quadratic equation 2x² - 3x + 5 = 0 has

• A. Real and distinct roots
• B. Real and equal roots
• C. Imaginary roots
• D. All of the above

Answer 1

The correct option is C

Imaginary roots

The nature of roots of the quadratic equation is determined by the value of its discriminant function : D = b² - 4 a c

D > 0 => The quadratic equation has Real distinct roots

D = 0 => The quadratic equation has Real equal roots

D < 0 => The quadratic equation has imaginary roots

Here D = b² - 4ac = (-3)² - 4 .2.5 = 9 - 40 < 0

So, the equation has imaginary roots.