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شائع >

137+6y=y^2-24x-x^2

الحلّ

137 + 6 y = y^{2} - 24 x - x^{2}

الحلّ

(h, k) = (- 12, 3), a = 2, b = 2

خطوات الحلّ

137 + 6 y = y^{2} - 24 x - x^{2}

Rewrite

137 + 6 y = y^{2} - 24 x - x^{2}

in the form of a standard hyperbola equation

\frac{( y - 3 ) ^{2}}{( 2 ) ^{2}} - \frac{( x - ( - 12 ) ) ^{2}}{( 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 12, 3), a = 2, b = 2

أمثلة شائعة

(y^2)/(25)-((x-5)^2)/(16)=1

\frac{y ^{2}}{25} - \frac{( x - 5 ) ^{2}}{16} = 1

4x^2-y^2-12y+36=0

4 x^{2} - y^{2} - 12 y + 36 = 0

9x^2-72x-4y^2-40y+44=36

9 x^{2} - 72 x - 4 y^{2} - 40 y + 44 = 36

4x^2+24x-2y^2+36=36

4 x^{2} + 24 x - 2 y^{2} + 36 = 36

((y-3)^2)/4-((x+1)^2)/(16)=1

\frac{( y - 3 ) ^{2}}{4} - \frac{( x + 1 ) ^{2}}{16} = 1