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Popular >

x^2+4y^2-6x+16y+21=0

Solution

x^{2} + 4 y^{2} - 6 x + 16 y + 21 = 0

Solution

(h, k) = (3, - 2), a = 2, b = 1

Solution steps

x^{2} + 4 y^{2} - 6 x + 16 y + 21 = 0

Rewrite

x^{2} + 4 y^{2} - 6 x + 16 y + 21 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (3, - 2), a = 2, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, - 2), a = 2, b = 1

Popular Examples

x^2+y^2-6x+4y+9=0

x^{2} + y^{2} - 6 x + 4 y + 9 = 0

vertices f(x)=x^2-4x+3 vertices

f (x) = x^{2} - 4 x + 3

((x-h)^2)/(a^2)+((y-k)^2)/(b^2)=1

\frac{( x - h ) ^{2}}{a ^{2}} + \frac{( y - k ) ^{2}}{b ^{2}} = 1

x^2+y^2+4x-6y-3=0

x^{2} + y^{2} + 4 x - 6 y - 3 = 0

(x^2}{25}-\frac{y^2)/4 =1

\frac{x ^{2}}{25} - \frac{y ^{2}}{4} = 1

Frequently Asked Questions (FAQ)

What is x^2+4y^2-6x+16y+21=0 ?
The solution to x^2+4y^2-6x+16y+21=0 is Ellipse with (h,k)=(3,-2),a=2,b=1