1. Find the roots of the equation x-(3/x-1) = 1-(3/x-1)?

2. If one angle of a triangle is sum of other two, find that angle?

Solution

1) No roots exist.

Explanation: Upon solving we get x = 1, which is not permissible since the denominator is x-1.

2) 90 degrees

Explanation: If A,B,C are the angles and if A = B+C then from A+B+C = 180 degrees we have B+C = 90 degrees and so

A = 90 degrees.