Find the roots of each of the following quadratic equations if they exist by the method of completing the squares:
x2 – 6x + 4 = 0
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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