What is ((x-1)^2)/(25)+((y-3)^2)/(16)=1 ?

The solution to ((x-1)^2)/(25)+((y-3)^2)/(16)=1 is Ellipse with (h,k)=(1,3),a=5,b=4

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((x-1)^2)/(25)+((y-3)^2)/(16)=1

\frac{( x - 1 ) ^{2}}{25} + \frac{( y - 3 ) ^{2}}{16} = 1

(h, k) = (1, 3), a = 5, b = 4

Solution steps

\frac{( x - 1 ) ^{2}}{25} + \frac{( y - 3 ) ^{2}}{16} = 1

Rewrite

\frac{( x - 1 ) ^{2}}{25} + \frac{( y - 3 ) ^{2}}{16} = 1

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{5 ^{2}} + \frac{( y - 3 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 3), a = 5, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 3), a = 5, b = 4

6 x^{2} + 12 y - 18 = 0

x^{2} + 8 y + 2 x - 23 = 0

\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = 1

f (x) = - 2 x^{2}

x^{2} + 2 y^{2} = 4

What is ((x-1)^2)/(25)+((y-3)^2)/(16)=1 ?
The solution to ((x-1)^2)/(25)+((y-3)^2)/(16)=1 is Ellipse with (h,k)=(1,3),a=5,b=4