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3 votes
Please explain how you worked the problem to find x!


1/x +1/(x+4) =1/5

User XCander
by
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1 Answer

6 votes

(1)/(x) +(1)/(x+4) (by taking the common factor for the two elements of the equation

\frac{1]{x} *(x+4)/(x+4) +(1)/(x+4)*(x)/(x)=(x+4)/(x*(x+4))+(x)/(x*(x+4)) now we can add both of the equation as the denominators have the same value.

(x+4+x)/(x*(x+4))=(2x+4)/(x^(2)+4x) = (1)/(5) by multiplying both sides by
5*(x^(2)+4x)

5*(2x+4)=x^(2) +4x

10x+20=x^(2)+4x by subtracting both sides by (10x+20)

x^(2) -6x -20 = 0 (by using the quadratic formula)
we will find two answers for this equation
x={
(-6- √(116))/(-2) and
(-6+√(116))/(-2)

User Hanslovsky
by
8.1k points

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