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Popular >

x^2+9y^2-2x-72y+136=0

Solution

x^{2} + 9 y^{2} - 2 x - 72 y + 136 = 0

Solution

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

Solution steps

x^{2} + 9 y^{2} - 2 x - 72 y + 136 = 0

Rewrite

x^{2} + 9 y^{2} - 2 x - 72 y + 136 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Popular Examples

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

(x^2)/(100)+(y^2)/(25)=16

\frac{x ^{2}}{100} + \frac{y ^{2}}{25} = 16

((x+5)^2}{25}+\frac{(y+4)^2)/9 =1

\frac{( x + 5 ) ^{2}}{25} + \frac{( y + 4 ) ^{2}}{9} = 1

(((x+1)^2))/((9))+(((y-2)^2))/((4))=1

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

25xx+9yy-18y-216=0

25 xx + 9 yy - 18 y - 216 = 0

Frequently Asked Questions (FAQ)

What is x^2+9y^2-2x-72y+136=0 ?
The solution to x^2+9y^2-2x-72y+136=0 is Ellipse with (h,k)=(1,4),a=3,b=1