RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 10. Quadratic Equations

Subject: Maths - Class 10th

Q. No. 9 of Exercise 10B

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9

Solve each of the following equations by using the method of completing the square:

3x2 - 2x - 1 = 0

Given: 3x2 - 2x - 1 = 0

9x2 - 6x = 3 (multiplying both sides by 3)


(adding on both sides)


using a2 - 2ab + b2 = (a - b)2


(taking square root on both sides)


3x - 1 = 2 or 3x - 1 = - 2


3x = 3 or 3x = - 1



Hence the roots of equation are


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