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(65𝑥 ∗73𝑥)^2=11,78

 May 5, 2016
 #1
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Solve for x:
22515025 x^4 = 11.78

 

11.78 = 589/50:
22515025 x^4 = 589/50

 

Divide both sides by 22515025:
x^4 = 589/1125751250

 

Taking 4^th roots gives (589/2)^(1/4)/(5 sqrt(949)) times the 4^th roots of unity:


Answer: |  x = -(589/2)^(1/4)/(5 sqrt(949))    or    x = -(i (589/2)^(1/4))/(5 sqrt(949))    or    x = (i (589/2)^(1/4))/(5 sqrt(949))    or    x = (589/2)^(1/4)/(5 sqrt(949))=~0.02689479350880

 May 5, 2016
 #2
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Thanks! :)

 May 6, 2016

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