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Beliebt Geometry >

a^2+(a^2)/2+(b^2)/2 =26

Lösung

a^{2} + \frac{a ^{2}}{2} + \frac{b ^{2}}{2} = 26

Lösung

(h, k) = (0, 0), a = \frac{2 13}{3}, b = 213

Schritte zur Lösung

a^{2} + \frac{a ^{2}}{2} + \frac{b ^{2}}{2} = 26

Rewrite

a^{2} + \frac{a ^{2}}{2} + \frac{b ^{2}}{2} = 26

in the form of the standard ellipse equation

\frac{( a - 0 ) ^{2}}{( \frac{2 13}{3} ) ^{2}} + \frac{( b - 0 ) ^{2}}{( 2 13 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{2 13}{3}, b = 213

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 213, a = \frac{2 13}{3}

Graph

Beliebte Beispiele

((x-4)^2)/(25)+((y+7)^2)/(16)=1

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\frac{( X - 3 ) ^{2}}{169} + \frac{( Y - 2 ) ^{2}}{144} = 1

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