Fsc Part 1 Mathematics (Complete Solution)

Q14
Solve the following equations by completing the square

2x2 + 12x - 110 = 0
Divided by 2
x2 + 6x - 55 = 0
x2 + 6x = 55
x2 + 2(3)x = 55

Add 32 to both sides

x2 + 2(3)x + 32 = 55 + 32
(x + 3)2 = 55 + 9
(x + 3)2 = 64
(x + 3)2 = (±8)2

Taking Square Root on both sides

(x + 3)2 = (±8)2
x + 3 = ±8
x = ±8 - 3



Either     x = -8 - 3      OR      x = 8 - 3
x = -11 x = 5



The Solution Set of the equation is {-11, 5}

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