The quadratic equation 2x² - √5x + 1 = 0 has-

Question: The quadratic equation 2x² - √5x + 1 = 0 has-

Solution:
Given,
2x² - √5x + 1 = 0

Comparing with the standard form of a quadratic equation,
a = 2, b = - √5, c = 1

Now,
b² - 4ac = (- √5)² - 4(2)(1)
= 5 - 8
= - 3 < 0

Therefore, the given equation has no real roots.