RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 10. Quadratic Equations

Subject: Maths - Class 10th

Q. No. 6 of Exercise 10C

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6

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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