Fsc Part 1 Mathematics (Complete Solution)

Q9
Solve the following equations by completing the square

x2 - 2x - 899 = 0
x2 - 2x = 899
x2 - 2(1)x = 899
Add (1)2 to both sides
x2 - 2(1)x + 1 = 899 + (1)2
x2 - 2(1)x + (1)2 = 899 + 1
(x - 1)2 = 900
(x - 1)2 = (30)2
Taking Square Root on both sides
(x - 1)2 = ± (30)2
x - 1 = ±30
x = ±30 + 1

Either     x = 30 + 1      OR      x = -30 + 1
x = 31      OR      x = -29



The Solution Set of the equation is {-29, 31}

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