Fsc Part 1 Mathematics (Complete Solution)

Q11
Solve the following equations by completing the square

x2 + 6x - 567 = 0
x2 + 6x = 567
x2 + 2(3)x = 567
Add (3)2 to both sides
x2 + 2(3)x + (3)2 = 567 + (3)2
x2 + 2(3)x + (3)2 = 567 + 9
(x + 3)2 = 576
(x + 3)2 = (±24)2

Taking Square Root on both sides

(x + 3)2 = (±24)2
x + 3 = ±24
x = ±24 - 3

Either     x = 24 - 3      OR      x = -24 - 3
x = 21      OR      x = -27



The Solution Set of the equation is {-27, 21}

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