Question

find the value of a,if:2a=(2/ x minus x)sq​

Answer 1

The value of a is (4+x⁴ - 4x²) /2x²

Step-by-step explanation:

(2/x - x)²

= (4/x²) + x² - 2.(2/x).x [∵ (a-b)= a²+b² -2ab]

= (4/x²) + x² -4

= (4+x⁴ - 4x²) / x² [The L.C.M. is x²]

According to the problem,

2a = (4+x⁴ - 4x²) / x²

so, a = (4+x⁴ - 4x²) / x² * 2

or, a = (4+x⁴ - 4x²) /2x²