Solving x in Equation: x-b(x2-1)b/2 = a

[sara_87]

Homework Statement

I made x the subject and i want to make sure i did it correctly

x^-b(x²-1)^b/2 = a

Homework Equations

The Attempt at a Solution

power both sides by -1/b

x(x²-1)^-1/2 = (a)^-1/b

(1-x^-2)^-1/2 = a^-1/b

x^-2 = 1-a^2/b

x = [1-a^2/b]^-1/2

thank you

 

[Mark44]

Homework Statement

I made x the subject and i want to make sure i did it correctly

x^-b(x²-1)^b/2 = a

Homework Equations

The Attempt at a Solution

power both sides by -1/b

x(x²-1)^-1/2 = (a)^-1/b

(1-x^-2)^-1/2 = a^-1/b

x^-2 = 1-a^2/b

x = [1-a^2/b]^-1/2

thank you

You should have x = +/-[1-a^2/b]^-1/2
Other than that, it looks fine.