SOLUTION: I need help about this one as well! If a, b, and c are three consecutive integers, find the integers if {{{c^3-a^3=866}}} in {{{a^2+c^2-2b^2=2}}}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I need help about this one as well! If a, b, and c are three consecutive integers, find the integers if {{{c^3-a^3=866}}} in {{{a^2+c^2-2b^2=2}}}      Log On


   



Question 202023: I need help about this one as well!
If a, b, and c are three consecutive integers, find the integers if c%5E3-a%5E3=866 in a%5E2%2Bc%5E2-2b%5E2=2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
13^3 - 11^3 = 866
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%28a%2B2%29%5E3+-+a%5E3+=+866
a%5E3+%2B+6a%5E2+%2B+12a+%2B+8+-+a%5E3+=+866
6a%5E2+%2B+12a+-+858+=+0
a%5E2+%2B+2a+-+143+=+0
(a-11)*(a+13) = 0
a = 11
a = -13
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a^2+c^2-2b^2=2
11^2 + 13^2 - 2*12^2 is not 2, it's -8.