12th grade
posted by Cassie .
solve: 5/2x+1/4x=9/4+x

Math, not "12th grade" 
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12th grade math 
PsyDAG
5/2x + 1/4x = 9/4 + x
Multiply both sides by 4x
10 + 1 = 9x + 4x^2
Bring all terms to one side of the equation.
4x^2 + 9x 11 = 0
Unfortunately, this equation does not factor. To get  11, it factors into 11 and  1 or 11 and 1. The other side (4x^2) can factor into both 2x or x and 4x. However, none of these combinations will give 9x. Do you have it written correctly? 
12th grade 
Arya
Continue with abc formula so x = 9 + sqrt257 / 8 or x = 9 + sqrt257 / 8
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