# How do you write an equation of an ellipse in standard form passing through the center at the origin that passes through the points (1, (-10√2)/3 ) and (-2, (5√5)/3 )?

##### 1 Answer

The standard form of the equation of an ellipse is:

where

#### Explanation:

We are given that the center is the origin,

Use the two given points and equation [2] to write two equations:

Let

Convert to an augmented matrix :

Perform Elementary row operations :

Substitute this into equation [2]:

Equation [7] is the answer.