The equation x - b(x² - 1)b/2 = a was successfully manipulated to isolate x. The correct final expression for x is x = ±[1 - a²/b]⁻¹/₂. The solution involved applying the power of -1/b to both sides and simplifying the resulting expressions. The discussion confirms the accuracy of the derived formula with minor adjustments for the positive and negative roots.
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You should have x = +/-[1-a2/b]-1/2sara_87 said: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-a2/b
x = [1-a2/b]-1/2
thank you