How to choose the parameters to the following equation has two integer solutions?

Question:How to choose the parameters to the following equation has two integer solutions?

Posted: toandhsp 300

May 02 2013

How to choose the integer parameters a, b, c, d, m to the following equation has two integer solutions?

sqrt(a* x + b) + sqrt(c*x + d) = m.

For example, the equation sqrt(x +5 ) + sqrt(8-x)=5 has two solution x = -1 and x = 4

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