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Solve the equation. Remember to check for extraneous solutions.
x-5/x+5=6/x+5 +5

Solve the equation. Remember to check for extraneous solutions. x-5/x+5=6/x+5 +5-example-1
User Punit S
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1 Answer

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⇒The first step is to eliminate the fraction by multiplying all the terms with the lowest common denominator.

⇒In this case the lowest common denominator is (x+5), meaning all the terms will be multiplied by (x+5)


(x-5)/(x+5) (x+5)=(6)/(x+5) (x+5)+5(x+5)

⇒Multiply out the brackets.


x-5=6+5(x)+5(5)\\x-5=6+5x+25

⇒Group the like terms together and simplify.


x-5x=6+25+5\\-4x=36\\(-4x)/(-4) =(36)/(-4) \\x=-9

⇒∴ x=-9

User Himadri Ganguly
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