Answer:
a = ± [tex]\sqrt{\frac{x^2}{1-w} }[/tex]
Step-by-step explanation:
Given
x² = a² - a²w ← factor out a² from each term on the right side
x² = a²(1 - w) ← divide both sides by (1 - w)
[tex]\frac{x^2}{1-w}[/tex] = a² ( take the square root of both sides )
± [tex]\sqrt{\frac{x^2}{1-w} }[/tex] = a