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nydus/Miscellanea Curiosa, Volume IPublic
Page 409 of 441
Table of Contents

APPENDIX.

  • ½ n√ a - √ aa - 1

(3) y =

½ /

n√ a - √ aa - 1

+  ½

n√ a - √ aa - 1   or,

(4) y =

½ /

n√ a - √ aa - 1

+    

½ /

n√ a + √ aa - 1

Here it is to be noted, that if

n - 1 / 2

be an odd Number, the Sign of the Root found must be contrary to it.

Let an Equation be propos'd 5y - 20y3 + 16y5 = 6, whence n = 5, and a = 6, and the Root will be

= ½

409