SOLUTION: Solve the equation. (√5x)-x+10=0

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Question 1066685: Solve the equation.
(√5x)-x+10=0

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve the equation.
(√5x)-x+10=0
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Bravo !!   Bravissimo !!!   You just learned to write it using parentheses.   Perfect !
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sqrt%285x%29+-x+%2B+10 = 0.       (Did I write it correctly ?)  --->

sqrt%285x%29 = x-10

Square both sides. You will get

5x = (x-10)^2,   or

5x = x^2 - 20x + 100  --->  x^2 - 25x + 100 = 0  --->  x%5B1%2C2%5D = %2825+%2B-+sqrt%2825%5E2+-+4%2A100%29%29%2F2 = %2825+%2B-+sqrt%28225%29%29%2F2 = %2825+%2B-+15%29%2F2.

x%5B1%5D = 20.  Check it !!  It works.

x%5B1%5D = 5.   Check it !!  It doesn't work.  This solution is EXTRANEOUS. 

Answer. The only solution is x = 20.

Solved.

Do you see now how important is to write equations properly when posting to this site ?




Plot y = sqrt%285x%29+-x+%2B+10

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One  NOTICE  at the end:

     What you wrote in your post was NOT exactly perfect.

     EXACTLY perfect is this:   (sqrt(5x)) -x + 10 = 0.


My next task is to teach you to say "Please" and "Thanks".