D(x)=sqrt(82.5-2*5x)

Lösung

D (x) = 82.5 - 2 \cdot 5 x

x = \frac{- 100 + 10000 + 33000 D ^{2}}{20 D ^{2}} {D < 0 or D > 0}, x = \frac{- 100 - 10000 + 33000 D ^{2}}{20 D ^{2}}

Schritte zur Lösung

D (x) = 82.5 - 2 \cdot 5 x

Quadriere beide Seiten:

D^{2} x^{2} = 82.5 - 10 x

D^{2} x^{2} = 82.5 - 10 x

Löse

D^{2} x^{2} = 82.5 - 10 x : x = \frac{- 100 + 10000 + 33000 D ^{2}}{20 D ^{2}}, x = \frac{- 100 - 10000 + 33000 D ^{2}}{20 D ^{2}}

x = \frac{- 100 + 10000 + 33000 D ^{2}}{20 D ^{2}}, x = \frac{- 100 - 10000 + 33000 D ^{2}}{20 D ^{2}}

Überprüfe die Lösungen:

x = \frac{- 100 + 10000 + 33000 D ^{2}}{20 D ^{2}} {D < 0 or D > 0}, x = \frac{- 100 - 10000 + 33000 D ^{2}}{20 D ^{2}}

Wahr

Die Lösungen sind

x = \frac{- 100 + 10000 + 33000 D ^{2}}{20 D ^{2}} {D < 0 or D > 0}, x = \frac{- 100 - 10000 + 33000 D ^{2}}{20 D ^{2}}

y^{^{''}} + 6 y = 8 t

y^{^{''}} - y^{^{'}} - 6 y = 12 cos (3 x)

x^{^{''}} + 5 x^{^{'}} + 6 x = 10

y^{^{''}} - 7 y^{^{'}} + 9 y = x, y^{1} (0) = e x

y^{^{''}} - 8 y + 20 y = 100 x^{2} - 26 x e^{x}