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Question 445074: Solve for n: n- 3/n = 26/3
Answer by benni1013(206)   (Show Source):
You can put this solution on YOUR website! Step 1: Put your n over 1
(n/1)-(3/n)=26/3
Step 2: Create a common denominator.
(n^2/n)-(3/n)=26/3
Step 3: Combine the fractions.
((n^2-3)/n))=26/3
Step 4: Multiply each side by 3/26
((3(n^2-3)/26n))=1
Step 5: Multiply each side by 26n
((3(n^2-3))=26n
Step 6: Distribute the 3 through on the left hand side
(3n^2-9)=26n
Step 7: Subtract 26n from the right hand side
(3n^2-26n-9)=0
Step 8: FACTOR
3(n-9)(n+1)=0
Step 9: Divide by 3
(n-9)(n+1)=0
Step 10: Solve each equation independently
n-9=0; n+1=0
n=9, -1
Step 11: Check the answers in the original equation
n-(3/n)=26/3; 9-(3/9)=26/3; 9-(1/3)=26/3; (27/3-1/3)=26/3 (This checks)
-1-(3/-1)=26/3; -1-(-3)=26/3; -1+3=26/3; -2=26/3; -6/3=26/3 (This doesn't check)
Step 12: Final Answer
9
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