3/x + 1/2 = x

how to solve this equation algebraically

  You can solve this expression algebraically by multiplying each of the fractions' numerator and denominator by the other fraction's denominator to get a   common denominator for the two fractions. Then, you add the numerators, and you multiply both sides of the equation by the reciprocal of the denominator of  one side of the equation. Please let me know if you'd like to see some work.

the answer is

Step-by-step explanation:

First of all, the hypotesis that is very important for the quocient to be well define (remember that we can not dive by zero).

Cotangent and tangent are reciprocals of each other means that one of them is the multiplicative inverse of the other one, i.e. for an angle we have

.

Suppose that your angle is . The hypotesis of the problem says that

.

Using the equation we have

and we are using the hypotesis that because the in the denominator in the last equation.