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7. Quadratic Equations
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Q17 of 168 Page 7

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


More from this chapter

All 168 →
16

Find the roots of the following quadratic equations, if they exist by the method of completing the square:

2x2 + x + 4 = 0

17

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

2x2 – 5x + 3 = 0

17

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

√5x2 + 9x + 4√5 = 0

17

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

2x2 + √15 x + √2 = 0

Questions · 168
7. Quadratic Equations
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