# Find the roots of each of the following equations, if they exist, by applying the quadratic formula:16x2 = 24x + 1

Given: 16x2 = 24x + 1

16x2 – 24x – 1 = 0

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

a = 16, b = – 24, c = – 1

Discriminant D = b2 – 4ac

= (– 24)2 – 4.16. – 1

= 576 + 64 = 640 > 0

Hence the roots of equation are real.

Roots are given by

Hence the roots of equation are

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