If ⁻¹k + ⁻¹ 1 2 = 4 , then what is the value of k ?

Step-by-step solution

Given ⁻¹k + ⁻¹ 1 2 = 4 Using the formula ⁻¹x + ⁻¹y = ⁻¹ ( x+y 1-xy ) , we get: ⁻¹ ( k + 1 2 1 - k 2 ) = 4 2k + 1 2 - k = ( 4 ) 2k + 1 2 - k = 1 2k + 1 = 2 - k 3k = 1 k = 1 3 Answer: 1 3