<PRE><B>Question 1192005</B>
&lt;br&gt;
We can assume at the start that a=1; if that leads to values of b and/or c that are not integers, we can scale up our answer.&lt;br&gt;
If a is 1, then b is the opposite of the sum of the roots, and c is the product of the roots.&lt;br&gt;
The sum of the roots is 10.&lt;br&gt;
The product of the roots is 25-26=-1.&lt;br&gt;
ANSWERS:
a=1
b=-10
c=-1&lt;br&gt;
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