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Beliebt Geometry >

16x^2+16y^2=1+2x+x^2

Lösung

16 x^{2} + 16 y^{2} = 1 + 2 x + x^{2}

Lösung

(h, k) = (\frac{1}{15}, 0), a = \frac{4}{15}, b = \frac{1}{15}

Schritte zur Lösung

16 x^{2} + 16 y^{2} = 1 + 2 x + x^{2}

Rewrite

16 x^{2} + 16 y^{2} - 1 - 2 x - x^{2} = 0

in the form of the standard ellipse equation

\frac{( x - \frac{1}{15} ) ^{2}}{( \frac{4}{15} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{1}{15} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{1}{15}, 0), a = \frac{4}{15}, b = \frac{1}{15}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (\frac{1}{15}, 0), a = \frac{4}{15}, b = \frac{1}{15}

Graph

Beliebte Beispiele

9x^2+25y^2+36x+150y+36=0

9 x^{2} + 25 y^{2} + 36 x + 150 y + 36 = 0

16x^2+25y^2-224x-150y+1009=400

16 x^{2} + 25 y^{2} - 224 x - 150 y + 1009 = 400

((x-2)^2)/4+((y+2)^2)/8 =1

\frac{( x - 2 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{8} = 1

4x^2+25y^2+24x+250y=-561

4 x^{2} + 25 y^{2} + 24 x + 250 y = - 561

x^2-8x+16y^2-2y+4=625

x^{2} - 8 x + 16 y^{2} - 2 y + 4 = 625