ii6 A NEW SO LUTlON.^c. 



16976 1061 



^ — i6ov^3 — loTI 



A — ^584 _ 99 

 160/3 — 10/3 



— — 39°3^ __ 4879 



'■ — —43200/3 ~- 540i/3 



To find whether % can be espreffed by a furd as -~\ I write 



/• = — 4879. ? = 540o> and r = 3 J and I have thefe two 

 equations, 



^.-■-4879 + M' ^ 



„i_ 3"' —5400 

 V' — 3v 



I find, that 7, 17, and 41, are divifors of 4879. It is evident 

 that + 7 would give i- negative : I therefore try — 7, and it 

 does not fucceed : Neither does +17; but trying — 1 7, I find 

 1/^ zz 64, and confequcntly n zr + 8 : And — 8 is found to 

 fucceed in the other equation : therefore ^ :=. — i'] v zz — 8, 



anc - — 8 /3- 



We have then, z = g^ = v 



V — \/3 — ? 



^ — i+v^i — 25 v'3 



_ ■z' + 'V^S _ 41 

 ^ — i — v^i — —Wi 



1061 j^ 17 

 _ I^ v^ "^ 8V3 _ 8488 + 170 _ 8658 _ 

 IHEREFORE, A'— ^^ _ ^^24-1^0 ~" 962 ~ " 



ley's 3 v'3 



1061 7 



10/3 2 5 v'3 _ .';3°5 — '4 _ 5^9" 



= II 



19. 



iGv'3 9/3 



And fo the three roots are, 9, ii, and 19. 



ENB OF PART FIRS^. 



