Find the nature of the roots of the following quadratic equations. If the real roots exist, find them: 2 x² – 3x + 5 = 0

2x² – 3x + 5 = 0
The given equations is of the form ax² + bx + c = 0, in which a = 2, b = – 3, c = 5.
Therefore, D = b² – 4ac = (-3)² – 4 × 2 × 5 = 9 – 40 = – 31 < 0
Hence, there is no real roots for this quadratic equation.