NEED ANSWER

Finding the equation of the ellipse with foci at (8,0) and (-8,0) and a vertex at (12,0)

pls show work, i'm having a hard time understanding this

Step-by-step explanation:

An ellipse centered a point (h,k) has the following formula:

The distance between foci is:

The center of the ellipse is:

The known vertex is on the horizontal axis of the ellipse. Then, the length of the semi-major axis is:

The length of the semi-minor axis is given by the following expression:

The equation of the ellipse is:

25.2

step-by-step explanation:

2+4x6-8/10= 25.2

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11