area ((x-1)^2)/9+(y^2)/5 =100

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axis (x−1)²9 +y²5 =100

Solution

semi−major axis a=30, semi−minor axis b=10√5

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(x−1)²9 +y²5 =100

Ellipse standard equation

(x−h)²a² +(y−k)²b² =1 is the ellipse standard equation
with center (h, k) and a, b are the semi-major and semi-minor axes

Rewrite (x−1)²9 +y²5 =100 in the form of the standard ellipse equation

(x−1)²30² +(y−0)²(10√5)² =1

Therefore ellipse properties are:

(h, k)=(1, 0), a=30, b=10√5

a>b therefore a is semi-major axis and b is semi-minor axis

Ellipse with center (h, k)=(1, 0), a=30, b=10√5

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

area ((x-1)^2)/9+(y^2)/5 =100

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