Root v5-X=X-5

Question

 Start root 5-x end root = x-5

Answer 1

√(5 - x) = x - 5

5 - x = x² - 10x + 25          square both sides

0 = x² - 9x + 20                 set equal to 0

0 = (x - 4)(x - 5)                 FOIL

 

4 must be eliminated to avoid negative root

 

Only solution is 5.