SOLUTION: solve sqrt x + sqrt x-3 =0 im coming up with no solution am i right thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve sqrt x + sqrt x-3 =0 im coming up with no solution am i right thank you      Log On


   

Question 379014: solve
sqrt x + sqrt x-3 =0
im coming up with no solution am i right
thank you
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28+x%29+%2B+sqrt%28x-3%29+=0
sqrt%28+x%29+=-+sqrt%28x-3%29
x=x-3
0=-3
Yes, you are correct, there is no solution.
.
.
.
Graphical verification.
As you can see the graph of y=sqrt%28x%29%2Bsqrt%28x-3%29 never crosses the x-axis.
.
.
.
graph%28300%2C300%2C-2%2C18%2C-10%2C10%2C0%2Csqrt%28x%29%2Bsqrt%28x-3%29%29

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, Correct!

solving

sqrt%28+x%29+%2B+sqrt%28+x-3+%29+=0

sqrt%28+x%29+=+-1%2Asqrt%28+x-3+%29

   x = x-3

   0 ≠ -3  there is NO solution