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5x@Sup{2}-39x-512

 Dec 15, 2015
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5x@Sup{2}-39x-512

Does this mean: 5 x^2-39 x-512 = 0???????????, if yes, then we have:

 

Solve for x:
5 x^2-39 x-512 = 0

Divide both sides by 5:
x^2-(39 x)/5-512/5 = 0

Add 512/5 to both sides:
x^2-(39 x)/5 = 512/5

Add 1521/100 to both sides:
x^2-(39 x)/5+1521/100 = 11761/100

Write the left hand side as a square:
(x-39/10)^2 = 11761/100

Take the square root of both sides:
x-39/10 = sqrt(11761)/10 or x-39/10 = -sqrt(11761)/10

Add 39/10 to both sides:
x = 39/10+sqrt(11761)/10 or x-39/10 = -sqrt(11761)/10

Add 39/10 to both sides:
Answer: | x = 39/10+sqrt(11761)/10            or x = 39/10-sqrt(11761)/10
 

 Dec 15, 2015

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