Question 921394
am^2+8m+1 or ax^2+8x+1 is in the form ax^2 + bx + c 


a is unknown
b = 8
c = 1



The discriminant formula {{{D = b^2 - 4ac}}} will help answer this problem. When {{{D = 0}}}, we'll have exactly one rational solution.



{{{D = b^2 - 4ac}}}



{{{D = 8^2 - 4*a*1}}} Plug in b = 8 and c = 1



{{{D = 64 - 4a}}}



{{{0 = 64 - 4a}}} Plug in D = 0 because we want exactly one rational solution.



{{{4a = 64}}}



{{{a = 64/4}}}



{{{a = 16}}}



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