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Beliebt Geometry >

7x^2+16y^2-28x+128y+172=0

Lösung

7 x^{2} + 16 y^{2} - 28 x + 128 y + 172 = 0

Lösung

(h, k) = (2, - 4), a = 4, b = 7

Schritte zur Lösung

7 x^{2} + 16 y^{2} - 28 x + 128 y + 172 = 0

Rewrite

7 x^{2} + 16 y^{2} - 28 x + 128 y + 172 = 0

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{4 ^{2}} + \frac{( y - ( - 4 ) ) ^{2}}{( 7 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, - 4), a = 4, b = 7

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, - 4), a = 4, b = 7

Graph

Beliebte Beispiele

x^2-16x+4y^2-12y+16=0

x^{2} - 16 x + 4 y^{2} - 12 y + 16 = 0

5 x^{2} + 3 y^{2} - 15 = 0

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

\frac{y ^{2}}{b ^{2}} = 1 - \frac{x ^{2}}{a ^{2}}

-1(-4x^2-y^2+16)>=-1(0)

- 1 (- 4 x^{2} - y^{2} + 16) \geq - 1 (0)

(x^2}{14}+\frac{y^2)/8 =1

\frac{x ^{2}}{14} + \frac{y ^{2}}{8} = 1