SOLUTION: Hello, could you please help me solve this equation. I initially tried solving by squaring both sides but the result seemed to be something awful. When I subtracted 4 from both s

Question 359732: Hello, could you please help me solve this equation. I initially tried solving by squaring both sides but the result seemed to be something awful. When I subtracted 4 from both sides and then squared both sides, my answer was x = 15/4
This is the equation:
4 + sqrt(10-x) = 6 + sqrt(4-x) solve for x
thank you.
Found 2 solutions by solver91311, Fombitz:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

You are spot on. Here's how I know (aside from solving the problem myself)

Just do the arithmetic. If you get a true statement, then is an element (and as it turns out the only element) of the solution set.

John

My calculator said it, I believe it, that settles it

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Me too, well done.
You can always verify your answer by sticking it back in the equation.

True, so the solution is verified.
.
.

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