SOLUTION: Trying to help my son logically solve following problem (rather than using guess and check): (t^2) + m = 28 t + (m^2) = 148 Solve for t and m. Thanks

Algebra ->  College  -> Linear Algebra -> SOLUTION: Trying to help my son logically solve following problem (rather than using guess and check): (t^2) + m = 28 t + (m^2) = 148 Solve for t and m. Thanks       Log On


   



Question 66103: Trying to help my son logically solve following problem (rather than using guess and check):
(t^2) + m = 28
t + (m^2) = 148
Solve for t and m.
Thanks

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
t^2 + m = 28
t + m^2 = 148
Set same terms to one side such as "t":
t^2 = 28 - m
t = 148 - m^2
Square the bottom:
t^2 = 28 - m
t^2 = 21,904 - 296m^2 + m^4
Negate the top (could the bottom i guess):
-t^2 = -28 + m
t^2 = 21,904 - 296m^2 + m^4
Add:
0 = m^4 - 296m^2 + m + 21,876
graph%28500%2C500%2C-13%2C13%2C-1000%2C22000%2Cx%5E4+-+296x%5E2+%2B+x+%2B+21876%29
Relative Coordinates