If ⁻¹ ( 2 a 1+a² )- ⁻¹ ( 1-b² 1+b² )= ⁻¹ ( 2 x 1-x² ) , then what is the value of x ?

Step-by-step solution

Given, ⁻¹ ( 2 a 1+a² )- ⁻¹ ( 1-b² 1+b² )= ⁻¹ ( 2 x 1-x² ) 2 ⁻¹ a-2 ⁻¹ b=2 ⁻¹ x ⁻¹ a- ⁻¹ b= ⁻¹ x ⁻¹ ( a-b 1+a b )= ⁻¹ x x= a-b 1+a b