solvefor m,sqrt((m-x)x^2-2m)=2-x

Lösung

löse nach

m, (m - x) x^{2} - 2 m = 2 - x

m = \frac{4 - 4 x + x ^{2} + x ^{3}}{x ^{2} - 2} {x < - 2 or - 2 < x < 2 or 2 < x \leq 2}

Schritte zur Lösung

(m - x) x^{2} - 2 m = 2 - x

Quadriere beide Seiten:

m x^{2} - x^{3} - 2 m = 4 - 4 x + x^{2}

m x^{2} - x^{3} - 2 m = 4 - 4 x + x^{2}

Löse

m x^{2} - x^{3} - 2 m = 4 - 4 x + x^{2} : m = \frac{4 - 4 x + x ^{2} + x ^{3}}{x ^{2} - 2}

m = \frac{4 - 4 x + x ^{2} + x ^{3}}{x ^{2} - 2}

Überprüfe die Lösungen:

m = \frac{4 - 4 x + x ^{2} + x ^{3}}{x ^{2} - 2} {x < - 2 or - 2 < x < 2 or 2 < x \leq 2}

Deshalb ist die Lösung

m = \frac{4 - 4 x + x ^{2} + x ^{3}}{x ^{2} - 2} {x < - 2 or - 2 < x < 2 or 2 < x \leq 2}

x^{\frac{1}{2}} = 4 a^{\frac{1}{24}}

3 - x - 1 = 2 x

36 - 12 k^{\frac{1}{2}} = 20

\frac{x + 1}{( x )} = 4

x^{2} - 24 = 5 x