even if you just get me started i would appreciate it. this may look familar but i messed up before
2006-12-12 15:25:11 · 4 answers · asked by dgenerationx97 1 in Science & Mathematics ➔ Mathematics
The only integral solutions are x = ±2 y = -1, so there are no positive integer solutions.
A computer search finds that
(11/64)² + (23/16)³ = 3
but, I don't know if there are any others. Perhaps a Google search on "rational points Mordell curve" will help.
Also:
( 130870 / 39³ )² + ( -1873 / 39² )³ = 3
2006-12-13 12:54:59 · answer #1 · answered by p_ne_np 3 · 0⤊ 0⤋
x^2 + y^3 = 3
y^3 = -(x^2) + 3
y = cbrt(-(x^2) + 3)
there are multiple answers
for a graph of the multiple answers, go to http://www.calculator.com/calcs/GCalc.html
type in (-(x^2 + 3))^(1/3)
2006-12-12 15:58:19 · answer #2 · answered by Sherman81 6 · 0⤊ 0⤋
yupchagee, you gave him a negative root. He wants positive rational roots.
By "rational" do you mean no square roots that are not integers?
2006-12-12 15:37:32 · answer #3 · answered by almintaka 4 · 0⤊ 0⤋
x=2
y=-1
2^2+(-1)^3=4-1=3
2006-12-12 15:29:13 · answer #4 · answered by yupchagee 7 · 0⤊ 1⤋