solvefor t,w(t)=sqrt(t-16)

Lösung

löse nach

t, w (t) = t - 16

t = \frac{1 + 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}, t = \frac{1 - 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}

Schritte zur Lösung

w (t) = t - 16

Quadriere beide Seiten:

t^{2} w^{2} = t - 16

t^{2} w^{2} = t - 16

Löse

t^{2} w^{2} = t - 16 : t = \frac{1 + 1 - 64 w ^{2}}{2 w ^{2}}, t = \frac{1 - 1 - 64 w ^{2}}{2 w ^{2}}

t = \frac{1 + 1 - 64 w ^{2}}{2 w ^{2}}, t = \frac{1 - 1 - 64 w ^{2}}{2 w ^{2}}

Überprüfe die Lösungen:

t = \frac{1 + 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}, t = \frac{1 - 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}

Die Lösungen sind

t = \frac{1 + 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}, t = \frac{1 - 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}

1 + 4 x = 2 x - 3

7 - 6 x - x = 0

(x - 1)^{3} = 8

4 = 0.7 A^{0.3}

x + 5 = 7 - x