Q. 17 B

Find the roots of each of the following quadratic equations if they exist by the method of completing the squares:

x2 – 6x + 4 = 0

Answer :

x2 – 6x = –4

Add the coefficient of to both sides

x2 – 6x + (3)2 = –4 + (3)2

(x – 3)2 = –4 + 9

x – 3 = √5

x = ±√5 + 3

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