Indian Mathematics c7.30

c7.30

*(1) ax ± by = c
(2) ax + by + cz + ... = l
(3) x a₁ Mod. b₁ ... a₄ Mod. b₄
(4) Ax + By + Cxy = D
(5) Du² + 1 = t²
(6) Du² - 1 = t²
(7) Du² ± s = t²
(8) D²u² ± s = t²
(9) u² + s = at²
(10) Du² ± au = t²
(11) s - Du² = t²
(12) Du + s = t²
(13) x ± a = s², x ± b = t² (14) ax+1=s², bx+a=t²
(15) 2(x²-y²)+3=s², 3(x²-y²)+3=t²
(16) ax²+by²=s², ax²-by²+1=t²
(17) x²+y²± 1=s², x²-y²± 1=t²
(18) x²-a x²-b 0 Mod. c
(19) ax²+b 0 Mod. c
(20) x+y=s², x-y=t², xy=u³
(21) x³+y³=s², x²+y²=t³
(22) x-y=s³, x²+y²=t³
(23) x+y=s², x³+y²=t²
(24) x³+y²+xy=s², (x+y)s+1=t²
(25) ax+1=s³, as²+1=t²
(26) wxyz=a(w+x+y+z)
(27) x³-a 0 Mod. b
(28) x+y+3=s², x-y+3=t², x²+y²-4=u², x²-y²+12=v², xy/2+y=w³, s+t+u+v+w+2=z²
(29) [3](xy+y)/2+√(x²+y²)+√(x+y+2)+√(x-y+2)+ √(x²-y²+8)=t²
(30) w+2=a², x+2=b², y+2=c², z+2=d², wx+18=e², xy+18=f², yz+18=g², a+b+c+d+e+f+g+11=13.