SOLUTION: Find the equation of an ellipse that has the center (0,0) focus at (3,0) and vertex at (5,0)

SOLUTION: Find the equation of an ellipse that has the center (0,0) focus at (3,0) and vertex at (5,0)

Algebra.Com

Question 111084: Find the equation of an ellipse that has the center (0,0) focus at (3,0) and vertex at (5,0)
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Standard form
center=(h,k)=(0,0); h=0, k=0
foci=(h+-c,k)=0+-3,0; c=3
vertices=(h+-a,k)=0+-5,0; a=5
b^2=a^2-c^2=25-9=16; b=4

Or we can get an LCD of 400 and multiply that by the equation above to get:
16x^2+25y^2=400
Ed

RELATED QUESTIONS
Write an equation of an ellipse with center at (0, 0), co-vertex at (-4 , 0), and focus... (answered by KMST)

Identify an equation in standard form for ellipse with the center at the origin, vertex... (answered by lwsshak3)

Find an equation of the ellipse that has center (5,-4) , a minor axis of length 8 , and (answered by ikleyn,MathLover1)

An ellipse has a vertex at (0, �5), a co-vertex at (�3, 0), and a center at the origin.... (answered by Theo)

An ellipse has a vertex at (0, -5), a co-vertex at (�3, 0), and a center at the origin.... (answered by greenestamps)

Could you please ....Write an equation of the ellipse with center at (0, 0), vertex at... (answered by lwsshak3)

Find an equation of the ellipse that satisfies the given conditions: Center (3,0), one... (answered by MathLover1)

Find the equation of the ellipse described. Focus at (0, -3) and (0, 3) vertices at (0,... (answered by KMST)

An ellipse has a vertex at (4, 0), a co-vertex at (0, 2), and a center at the origin.... (answered by Edwin McCravy)