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