Q:To give integer solutions of a2+b2=c2a^2+b^2=c^2

solution:
We get :(ac)2+(bc)2=1(\frac{a}{c})^2+(\frac{b}{c})^2=1
let: ac=x\frac{a}{c}=x bc=y\frac{b}{c}=y
then: just to find Rational number soluntion of x2+y2=1x^2+y^2=1
Here we can fit it in a standard circle:
Number Theory 1_1,Pythagorean array common frmula
Then to solve: {x2+y2=1y=k(x1)\begin{cases} x^2+y^2=1 \\ y=k(x-1) \end{cases}
At last we could solve the result rational number solutions

相关文章:

  • 2022-12-23
  • 2022-12-23
  • 2022-02-05
  • 2022-12-23
  • 2021-07-14
  • 2022-12-23
  • 2022-12-23
  • 2021-06-26
猜你喜欢
  • 2021-11-12
  • 2022-12-23
  • 2021-10-10
  • 2021-10-08
  • 2021-09-28
  • 2022-12-23
  • 2021-11-08
相关资源
相似解决方案