# How do you write an equation of an ellipse in standard form given 2(x+4)^2 + 3(y-1)^2 = 24 ?

Apr 11, 2018

This is very close.

#### Explanation:

The standard form has a $1$ on the right hand side so you only have to divide by $24$.

$2 {\left(x + 4\right)}^{2} + 3 {\left(y - 1\right)}^{2} = 24$

$\frac{2 {\left(x + 4\right)}^{2}}{24} + \frac{3 {\left(y - 1\right)}^{2}}{24} = \frac{24}{24}$

Standard form:

${\left(x + 4\right)}^{2} / 12 + {\left(y - 1\right)}^{2} / 8 = 1$