SOLUTION: THE SUM OF A NUMBER AND ITS RECIPORCAL IS 10 OVER 3 WHAT IS THAT NUMBER? USE FIVE STEP METHOD I NEED MY DIPLOMA!! HELP!~!
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Question 21082: THE SUM OF A NUMBER AND ITS RECIPORCAL IS 10 OVER 3 WHAT IS THAT NUMBER? USE FIVE STEP METHOD I NEED MY DIPLOMA!! HELP!~!
Found 2 solutions by algebrapro18, Earlsdon:
Answer by algebrapro18(249) (Show Source): You can put this solution on YOUR website!
THE SUM OF A NUMBER AND ITS RECIPORCAL IS 10 OVER 3
writing as an algebraic expression we get
x+1/x=10/3
cross multiplying
3(x+1)=10x
distributing
3x+3=10x
collecting like terms
3=7x
dividing by 7
x=3/7
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
I'm not sure what the "five-step" method is but perhaps you can adapt the following to fit. Let n be the unknown number.
Write the equation:
Add the terms on the left side.
Solve the equation:
Multiply both sides by n.
Multiply both sides by 3.
} Subtract 10n from both sides.
Solve this quadratic equation for n by factoring.
Apply the zero products principle.
and/or
If , then and
If , then
So there are two answers to this problem:
n = 3 and n = 1/3
Check:
n = 3: = OK
n = 1/3: = OK
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