Rearranging to make x the subject so i can solve

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AI Thread Summary
To solve the equation √((x + 2)/(x - 2)) = 1/2, the first step is to eliminate the square root by squaring both sides, resulting in (x + 2)/(x - 2) = 1/4. Next, cross-multiply to eliminate the fraction, leading to 4(x + 2) = (x - 2). This simplifies to a linear equation, which can be rearranged to isolate x. After solving, a quadratic equation may emerge, which can then be solved for x. The process involves careful manipulation of algebraic expressions to isolate the variable.
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Homework Statement



Square root over all in brackets (x+2)/(x-2)=1/2

Homework Equations



REARRANGING

The Attempt at a Solution



-0.33? but need to show my working but used my calculator, i don't no how to get the x's to become one
 
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Is it
\sqrt{\frac{x + 2}{x - 2}} = \frac12
or
\frac{\sqrt{x + 2}}{x - 2}} = \frac12?

Anyway, first you want to get rid of the square root, then of the fraction and finally you will get a quadratic equation which you can solve.
 
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