solvefor x,z=x*(x^2+y^2)^{-1/2}

Lösung

löse nach

x, z = x \cdot (x^{2} + y^{2})^{- \frac{1}{2}}

x = - \frac{z ^{2} y ^{2}}{z ^{2} - 1}, x = - - \frac{z ^{2} y ^{2}}{z ^{2} - 1}

Schritte zur Lösung

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

Schreibe

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

um:

\frac{x}{( x ^{2} + y ^{2} ) ^{\frac{1}{2}}}

z = \frac{x}{( x ^{2} + y ^{2} ) ^{\frac{1}{2}}}

Quadriere beide Seiten:

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

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

Löse

z^{2} = \frac{x ^{2}}{x ^{2} + y ^{2}} : x = - \frac{z ^{2} y ^{2}}{z ^{2} - 1}, x = - - \frac{z ^{2} y ^{2}}{z ^{2} - 1}

x = - \frac{z ^{2} y ^{2}}{z ^{2} - 1}, x = - - \frac{z ^{2} y ^{2}}{z ^{2} - 1}

2 x + 5 = x + 2

x^{2} - 2 - x = 3

x - 6 x = - 9

2 x^{2} - 6 x + 2 = x^{2} - 3 x

2 x + 11 = 3 x + 7