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Beliebt Geometry >

16x^2-160x+25y^2+350y-1225=0

Lösung

16 x^{2} - 160 x + 25 y^{2} + 350 y - 1225 = 0

Lösung

(h, k) = (5, - 7), a = \frac{5 57}{2 2}, b = 114

Schritte zur Lösung

16 x^{2} - 160 x + 25 y^{2} + 350 y - 1225 = 0

Rewrite

16 x^{2} - 160 x + 25 y^{2} + 350 y - 1225 = 0

in the form of the standard ellipse equation

\frac{( x - 5 ) ^{2}}{( \frac{5 57}{2 2} ) ^{2}} + \frac{( y - ( - 7 ) ) ^{2}}{( 114 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (5, - 7), a = \frac{5 57}{2 2}, b = 114

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (5, - 7), a = \frac{5 57}{2 2}, b = 114

Graph

Beliebte Beispiele

9x^2+16y^2-18x-64y=71

9 x^{2} + 16 y^{2} - 18 x - 64 y = 71

21y^2+210y+25x^2-100x=0

21 y^{2} + 210 y + 25 x^{2} - 100 x = 0

((x-1)/2)^2+(y+3)^2= 49/64

(\frac{x - 1}{2})^{2} + (y + 3)^{2} = \frac{49}{64}

sqrt(x^2+y^2)=2*y/(sqrt(x^2+y^2))

x^{2} + y^{2} = 2 \cdot \frac{y}{x ^{2} + y ^{2}}

(x^2)/(1.5869)+(y^2)/(0.9988)=1

\frac{x ^{2}}{1.5869} + \frac{y ^{2}}{0.9988} = 1