The quadratic equation 2x^2 - sqrt(5)x + 1 = 0 has ______.

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The quadratic equation 2x^2 - sqrt(5)x + 1 = 0 has no real roots. Explanation: Given equation is 2x^2 - sqrt(5)x + 1 = 0 On comapring with ax2 + bx + c = 0, we get a = 2, b = -sqrt(5) and c = 1 $\therefore$ Discriminant, D = b2 – 4ac = `(-sqrt(5))^2 - 4 xx (2) xx (1)` = 5 – 8 = – 3 < 0 Since, discrimant is negative, Therefore quadratic equation 2x^2 - sqrt(5)x + 1 = 0 has no real roots i.e., imaginary roots.

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