RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 10. Quadratic Equations

Subject: Maths - Class 10th

Q. No. 17 of Exercise 10C

Listen NCERT Audio Books - Kitabein Ab Bolengi

17

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

2x2 + ax – a2 = 0

Given: 2x2 + ax – a2 = 0

Comparing with standard quadratic equation Ax2 + Bx + C = 0


A = 2, B = a, C = – a2


Discriminant D = B2 – 4AC


= (a)2 – 4.2. – a2


= a2 + 8 a2 = 9a20


Hence the roots of equation are real.



Roots are given by





Hence the roots of equation are


17

Chapter Exercises

More Exercise Questions