SOLUTION: For all real values of x, f(x^2) + f(30-x)=6x-4. Determine the value of f(25).

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Question 1054336: For all real values of x, f(x^2) + f(30-x)=6x-4. Determine the value of f(25).
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.
For all real values of x, f(x^2) + f(30-x)=6x-4. Determine the value of f(25).
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Apply the given equality  = 

to x = 5. You will get then


f(25) + f(30-5) = 6*5-4,   or

f(25) + f(25) = 26,   or

2*f(25) = 26,   which gives  f(25) =  = 13.

Answer.  f(25) = 13.


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

For all real values of x, f(x^2) + f(30-x)=6x-4. Determine the value of f(25).
 

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