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.