- #1

Leo Consoli

- 39

- 5

- Homework Statement
- Being a, b and c integers, find the amount of integer solutions of (x^2 - x - 3 + 2c)/2 = x(ax+b)

- Relevant Equations
- Girard relations

x^2 - x -3 + 2c = 2x(ax+b)

x^2 -2ax^2 - 2bx - x - 3 + 2c = 0

x^2(1-2a) -x(1+2b) -3 + 2c =0

Using girard

r1+r2 = (1+ 2b)/(1-2a)

r1xr2 = (-3 +2c)/(1-2a)

After this I am stuck.

Thank you.

x^2 -2ax^2 - 2bx - x - 3 + 2c = 0

x^2(1-2a) -x(1+2b) -3 + 2c =0

Using girard

r1+r2 = (1+ 2b)/(1-2a)

r1xr2 = (-3 +2c)/(1-2a)

After this I am stuck.

Thank you.

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