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nydus/Miscellanea Curiosa, Volume IPublic
Page 406 of 441
Table of Contents

APPENDIX.

½ n√ √ 1 + aa - a

(4) y =

½ /

n√

√ 1 + aa - a

-    

½ /

n√

√ 1 + aa + a

For Example, Let the Root of this Equation of the Fifth Power be required 5y + 20y3 + 16y5 = 4 in which case n is = 5, and a = 4, and the Root, according to the first Form, is

y = ½

5√

√ 17 + 4

-  

½ /

5√

√ 17 + 4

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