SOLUTION: half the square root of twice a number is 5. find the number... Please, and Thank you :)

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Question 611000: half the square root of twice a number is 5. find the number... Please, and Thank you :)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

half                  <-- that's 1%2F2 

the square root of    <-- that's sqrt%28%22%98%98%22%29. So far we have 1%2F2sqrt%28%22%98%98%22%29.  

twice a number        <-- thst's  2x.  So far we have 1%2F2sqrt%282x%29   

is                     <-- that's " = ". So far we have 1%2F2sqrt%282x%29 =   
 
5.                     <-- that's 5, So we have the equation 1%2F2sqrt%282x%29 = 5

  So we just solve the equation:   
               
                              1%2F2sqrt%282x%29 = 5
First multiply both sides
by 2 to clear of the fraction          sqrt%282x%29 = 10
                                     
Square both sides                       %28sqrt%282x%29%29%5E2 = 10%5E2   

Simplify                                         2x = 100

Divide both sides by 2                            x = 50.

Edwin