solvefor x,z(x)=sqrt(500-5x)

Lösung

löse nach

x, z (x) = 500 - 5 x

x = \frac{- 5 + 5 1 + 80 z ^{2}}{2 z ^{2}}, x = \frac{- 5 - 5 1 + 80 z ^{2}}{2 z ^{2}}

Schritte zur Lösung

z (x) = 500 - 5 x

Quadriere beide Seiten:

x^{2} z^{2} = 500 - 5 x

x^{2} z^{2} = 500 - 5 x

Löse

x^{2} z^{2} = 500 - 5 x : x = \frac{- 5 + 5 1 + 80 z ^{2}}{2 z ^{2}}, x = \frac{- 5 - 5 1 + 80 z ^{2}}{2 z ^{2}}

x = \frac{- 5 + 5 1 + 80 z ^{2}}{2 z ^{2}}, x = \frac{- 5 - 5 1 + 80 z ^{2}}{2 z ^{2}}

Überprüfe die Lösungen:

x = \frac{- 5 + 5 1 + 80 z ^{2}}{2 z ^{2}}

Wahr

, x = \frac{- 5 - 5 1 + 80 z ^{2}}{2 z ^{2}}

Wahr

Die Lösungen sind

x = \frac{- 5 + 5 1 + 80 z ^{2}}{2 z ^{2}}, x = \frac{- 5 - 5 1 + 80 z ^{2}}{2 z ^{2}}

so l v e f or x, 2 y = 5 x

x - x - 7 = 1

x + 5 = 3

so l v e f or x, z = y - x^{2}

so l v e f or x, 3 + 5 x = k + 6 x