Q1 of 108 Page 44

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

2x2 – 3x + 5 = 0


Nature of the quadratic equation can be found out using the following formula

b2 – 4ac > 0 for real roots


When we compare the above quadratic equation with the generalized one we get,


ax2 + bx + c = 0


a = 2


b = -3


c = 5


⟹ (-3)2 – (4 × 2 × 5)


⟹ 9 – 40


⟹ -31


The answer is negative which implies that the quadratic equation does not have real roots that is they have imaginary roots.


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