Q. 55.0( 4 Votes )

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

25x2 + 30x + 7 = 0

Answer :

Given: 25x2 + 30x + 7 = 0

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


a = 25, b = 30, c = 7


Discriminant D = b2 – 4ac


= (30)2 – 4.25.7


= 900 – 700 = 200 > 0


Hence the roots of equation are real.


Roots are given by





Hence the roots of equation are


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