SOLUTION: Solve: SQRE ROOT x-5=x-5 I got the answer (5,6) but I don't know how Please show me step by step to get the answer. thanks

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve: SQRE ROOT x-5=x-5 I got the answer (5,6) but I don't know how Please show me step by step to get the answer. thanks      Log On


   

Question 451701: Solve: SQRE ROOT x-5=x-5
I got the answer (5,6) but I don't know how
Please show me step by step to get the answer. thanks
Found 2 solutions by jorel1380, Alan3354:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
√(x-5)=x-5
x-5=(x-5)2
x-5=x2-10x+25
x2-11x+30=0
(x-5)(x-6)=0
x=5 or 6..

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve: sqrt%28x-5%29+=+x-5
Only 2 values fit z+=+sqrt%28z%29
Some might argue infinity also fits, but we'll defer that until later, if ever.
0 & 1
So x-5 = 0 --> x = 5
x - 5 = 1 --> x = 6