Question 73069
Remember "is" means equals. 
{{{2(x)^2=35+9x}}}Here's the translated version
{{{2x^2-9x-35=0}}}Solve for x by getting everything to one side
*[invoke quadratic "x", 2, -9, -35 ]
Since the problem states the integer is positive, the only answer is 7. So 7 is the integer.
Check:
{{{2(7)^2=35+9(7)}}}
{{{98=98}}}Works