SOLUTION: Solve algebraically for the exact values of x: 5x/2 = 1/x + x/4 5x OVER 2 is equal to one OVER x + x OVER 4

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Question 1033311: Solve algebraically for the exact values of x: 5x/2 = 1/x + x/4


5x OVER 2 is equal to one OVER x + x OVER 4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parentheses will remove any doubt about your meaning.
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(5x)/2=1/x+x/4
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Multiply both sides by 4x.
%282x%29%285x%29=4%2Bx%5E2
10x%5E2=4%2Bx%5E2
9x%5E2=4
x%5E2=4%2F9
x=sqrt%284%2F9%29
x=+0+%2B-+2%2F3