Question 1066685
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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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<pre>
{{{sqrt(5x) -x + 10}}} = 0.       (Did I write it correctly ?)  --->

{{{sqrt(5x)}}} = x-10

Square both sides. You will get

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

5x = x^2 - 20x + 100  --->  x^2 - 25x + 100 = 0  --->  {{{x[1,2]}}} = {{{(25 +- sqrt(25^2 - 4*100))/2}}} = {{{(25 +- sqrt(225))/2}}} = {{{(25 +- 15)/2}}}.

{{{x[1]}}} = 20.  Check it !!  It works.

{{{x[1]}}} = 5.   Check it !!  It doesn't work.  This solution is EXTRANEOUS. 

<U>Answer</U>. The only solution is x = 20.
</pre>

Solved.


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



{{{graph( 330, 330, -2.5, 35.5, -2.5, 20.5,
          sqrt(5x) -x + 10
)}}}


Plot y = {{{sqrt(5x) -x + 10}}}


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One &nbsp;<U>NOTICE</U> &nbsp;at the end:


&nbsp;&nbsp;&nbsp;&nbsp; What you wrote in your post was NOT exactly perfect.


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



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