Answer:
x = ± [tex]\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2}{a^2}[/tex] + [tex]\frac{y^2}{b^2}[/tex] = 1
Multiply through by a²b² to clear the fractions
b²x² + a²y² = a²b² ( subtract a²y² from both sides )
b²x² = a²b² - a²y² ( divide both sides by b² )
x² = [tex]\frac{a^2b^2-a^2y^2}{b^2}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }[/tex]
