Put the equation 169x^2+25y^2-4225=0 in standard form and sketch the ellipse including the foci in your sketch ​

The standard form of the ellipse is . Coordinates of the foci are and , respectively.

Step-by-step explanation:

The equation of a ellipse centered in the origin in standard form is defined by following formula:

(1)

Where are the coefficients of the ellipse.

Now we proceed to transform the equation of the ellipse in general form into standard form by algebraic means:

Since , then major axis of the ellipse is located in y-axis. The distance between center and focus () is calculated by following Pythagorean identity:

(2)

The location of the foci are represented by and . If we know that , then the location of the foci are, respectively:

,