Question

Make x the subject of formula x²/a²+y²/b²=1

Answer 1

Answer:

x = ± $\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }$

Step-by-step explanation:

Given

$\frac{x^2}{a^2}$ + $\frac{y^2}{b^2}$ = 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 = $\frac{a^2b^2-a^2y^2}{b^2}$ ( take the square root of both sides )

x = ± $\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }$