Question:
Completing squares method
Answer:
Completing the square means converting the equation
ax2 + bx + c = 0 into a(x + d)2 + e= 0
where d = b/2a and e = c - (b2 /4a)
Example: x2 - 4x - 8 = 0
=> x2 - 4x = 8
=> x2 - 4x + 4 = 8 + 4
=> x2 - 4x + 4 = 12
=> (x - 2)2 = 12
=> x - 2 = ±√12
=> x - 2 = ±2√3
=> x = 2 ± 2√3
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