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solve by completing the square v^2-6v-18=0

 Apr 27, 2016
 #1
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+5

Solve for v:
v^2-6 v-18 = 0

Add 18 to both sides:
v^2-6 v = 18

Add 9 to both sides:
v^2-6 v+9 = 27

Write the left hand side as a square:
(v-3)^2 = 27

Take the square root of both sides:
v-3 = 3 sqrt(3) or v-3 = -3 sqrt(3)

Add 3 to both sides:
v = 3+3 sqrt(3) or v-3 = -3 sqrt(3)

Add 3 to both sides:
Answer: |  v = 3+3 sqrt(3)       or        v = 3-3 sqrt(3)

 Apr 27, 2016

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