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Beliebt Algebra >

solvefor x,z=xy+y*sqrt(x^2-a^2)+b

Lösung

löse nach

x, z = x y + y \cdot x^{2} - a^{2} + b

Lösung

x = \frac{- a ^{2} y ^{2} + 2 b z - z ^{2} - b ^{2}}{2 y ( b - z )}

Schritte zur Lösung

z = x y + y x^{2} - a^{2} + b

Quadratwurzeln entfernen

- 2 b z - 2 x zy + z^{2} + b^{2} + x^{2} y^{2} + 2 b x y = x^{2} y^{2} - a^{2} y^{2}

Löse

- 2 b z - 2 x zy + z^{2} + b^{2} + x^{2} y^{2} + 2 b x y = x^{2} y^{2} - a^{2} y^{2} : x = \frac{- a ^{2} y ^{2} + 2 b z - z ^{2} - b ^{2}}{2 y ( b - z )}

x = \frac{- a ^{2} y ^{2} + 2 b z - z ^{2} - b ^{2}}{2 y ( b - z )}

Graph

Beliebte Beispiele

sqrt(x^2)+sqrt((x-1)^2)=1

x^{2} + (x - 1)^{2} = 1

(2 x + 5)^{\frac{1}{3}} = 5

(x^{0.16})+80=122

(x^{0.16}) + 80 = 122

y - 19 = 2

sqrt(x+7)+sqrt(x+2)=(15)/((sqrt(x+7)))

x + 7 + x + 2 = \frac{15}{( x + 7 )}