Question

Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:

2x² - 3x + 5 = 0

Determine the nature of the roots of the following quadratic equation:

2x² - 3x + 5 = 0

Answer 1

Consider the equation

x² - 3x + 5 = 0

Comparing it with ax² + bx + c = 0, we get

a = 2, b = -3 and c = 5

Discriminant = b² - 4ac

= (-3)² - 4 (2) (5)

= 9 - 40

= -31

As b² - 4ac < 0,

Therefore, no real root is possible for the given equation.