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Beliebt Algebra >

G(x)=sqrt(1-x)

Lösung

G (x) = 1 - x

Lösung

x = \frac{- 1 + 1 + 4 G ^{2}}{2 G ^{2}} {G < 0 or G > 0}, x = \frac{- 1 - 1 + 4 G ^{2}}{2 G ^{2}}

Schritte zur Lösung

G (x) = 1 - x

Quadriere beide Seiten:

G^{2} x^{2} = 1 - x

G^{2} x^{2} = 1 - x

Löse

G^{2} x^{2} = 1 - x : x = \frac{- 1 + 1 + 4 G ^{2}}{2 G ^{2}}, x = \frac{- 1 - 1 + 4 G ^{2}}{2 G ^{2}}

x = \frac{- 1 + 1 + 4 G ^{2}}{2 G ^{2}}, x = \frac{- 1 - 1 + 4 G ^{2}}{2 G ^{2}}

Überprüfe die Lösungen:

x = \frac{- 1 + 1 + 4 G ^{2}}{2 G ^{2}} {G < 0 or G > 0}, x = \frac{- 1 - 1 + 4 G ^{2}}{2 G ^{2}}

Wahr

Die Lösungen sind

x = \frac{- 1 + 1 + 4 G ^{2}}{2 G ^{2}} {G < 0 or G > 0}, x = \frac{- 1 - 1 + 4 G ^{2}}{2 G ^{2}}

Graph

Beliebte Beispiele

sqrt(3x-5)-sqrt(x+7)=1

3 x - 5 - x + 7 = 1

2 = x

x + x^{2} = 0

solvefor x,sqrt(2x)-5y=-1

so l v e f or x, 2 x - 5 y = - 1

3 x + 1 = 0