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Find the nature of the roots of the following quadratic equations:
x2 – x + 2 = 0
Given: x2 – x + 2 = 0
Comparing with standard quadratic equation ax2 + bx + c = 0
a = 1, b = – 1, c = 2
Discriminant D = b2 – 4ac
= (– 1)2 – 4.1.2
= 1 – 8 = – 7 < 0
Hence the equation has no real roots.