E777 -- De resolutione huius aequationis 0 = a + bx + cy + dxx + exy + fyy + gxxy + hyy + ixxyy per numeros rationales

(On the resolution of the equation 0 = a + bx + cy + dxx + exy + fyy + gxxy + hyy + ixxyy by rational numbers)

Summary:

Euler presents techniques for trying to factor biquadratics such as 0 = a + bx + cy + dxx + exy + fyy + gxxy + hyy + ixxyy.

Publication:

Originally published in Memoires de l'academie des sciences de St.-Petersbourg 11, 1830, pp. 58-68
Opera Omnia: Series 1, Volume 5, pp. 146 - 156
Reprinted in Commentat. arithm. 2, 1849, pp. 467-473 [E777a]

Documents Available:

Original publication: E777

Return to the Euler Archive