Solve for x. a=`sqrt((x+c)/(x-c))` Please explain how you arrive at the answer.Thanks

Asked on by hello000

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lemjay | High School Teacher | (Level 3) Senior Educator

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First, eliminate the radical. So, take the square of both sides of the equation.



Then, remove the x in the denominator. To do so, multiply the equation by x-c.



Next, bring together the terms with x on one side of the equation. So, subtract both sides by x.



Also, add both sides by a^2c to bring together the terms without x on the other side of the equation.



Then, factor out the GCF at the left side.


And to have x only at the left, divide both sides by a^2-1.



Hence, `x=(a^2c+c)/(a^2-1)` .

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