5√ 6 + √ 35 + ½ / 5√ 6 + √ 35
or because 6 +
√ 35
= 11.916 whose Logarithm is 1.0761304, and its Fifth part is 0.2152561, whose Arithmetical Complement is 9.7847439. The Numbers belonging to these Logarithms are 1.6415 and 0.6091, whose half Sum is 1.1253 = y.
But if it happen that a is less than Unity then the Second Form, as being more convenient, ought to be pitch'd on. So if the Equation had been 5y - 20y3 + 16y5 = 61⁄64 then y will be
= ½
5√ 61⁄64 + √ -375⁄4096
+ ½
5√ 61⁄64 - √ -375⁄4096
and if the Root of the Fifth Power can by any means be Extracted the true and possible Root of the Equation, will thence Emerge, tho' the Expression seems to insinuate an Impossibility. But the Root of the Fifth Power of the Binomial 61 ⁄ 64 + √ -375⁄4096 is ¼ + ¼√ -15 and so the same Root of the Binomial 61 ⁄ 64 +