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a^2-2a-1=0

 Jul 9, 2016
 #1
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Solve for a:
a^2-2 a-1 = 0

 

Add 1 to both sides:
a^2-2 a = 1

 

Add 1 to both sides:
a^2-2 a+1 = 2

 

Write the left hand side as a square:
(a-1)^2 = 2

 

Take the square root of both sides:
a-1 = sqrt(2) or a-1 = -sqrt(2)

 

Add 1 to both sides:
a = 1+sqrt(2) or a-1 = -sqrt(2)

 

Add 1 to both sides:
Answer: |  a = 1+sqrt(2)        or       a = 1-sqrt(2)

 Jul 9, 2016

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