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Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
25x2 + 30x + 7 = 0
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