RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 10. Quadratic Equations

Subject: Maths - Class 10th

Q. No. 2 of Exercise 10B

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2

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

x2 - 4x + 1 = 0

Given: x2 - 4x + 1 = 0

x2 - 4x = - 1


x2 - 2.x.2 + 22 = - 1 + 22 (adding 22 on both sides)


(x - 2)2 = - 1 + 4 = 3 using a2 - 2ab + b2 = (a - b)2


(taking square root on both sides)




Hence the roots of equation are


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