Find the nature of the roots of the following quadratic equations:

2x2 – 8x + 5 = 0

Given: 2x2 – 8x + 5 = 0

Comparing with standard quadratic equation ax2 + bx + c = 0


a = 2, b = – 8, c = 5


Discriminant D = b2 – 4ac


= (– 8)2 – 4.2.5


= 64 – 40 = 24 > 0


Hence the roots of equation are real and unequal.


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