Q. 1 D5.0( 1 Vote )

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

5x (x – 2) + 6 = 0

Answer :

Given: 5x (x – 2) + 6 = 0

5x2 – 10x + 6 = 0


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


a = 5, b = – 10, c = 6


Discriminant D = b2 – 4ac


= (– 10)2 – 4.5.6


= 100 – 120 = – 20 < 0


Hence the equation has no real roots.


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