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Beliebt Algebra >

sqrt(1-x^2)=ax

Lösung

1 - x^{2} = a x

Lösung

x = \frac{1}{1 + a ^{2}} {a \geq 0}, x = - \frac{1}{1 + a ^{2}} {a \leq 0}

Schritte zur Lösung

1 - x^{2} = a x

Quadriere beide Seiten:

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

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

Löse

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

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

Überprüfe die Lösungen:

x = \frac{1}{1 + a ^{2}} {a \geq 0}, x = - \frac{1}{1 + a ^{2}} {a \leq 0}

Die Lösungen sind

x = \frac{1}{1 + a ^{2}} {a \geq 0}, x = - \frac{1}{1 + a ^{2}} {a \leq 0}

Graph

Beliebte Beispiele

\sqrt[4]{4x^2-3}=x

4 4 x^{2} - 3 = x

x=5+(3x-11)^{1/2}

x = 5 + (3 x - 11)^{\frac{1}{2}}

sqrt((3x+4))-sqrt((x-3))=3

(3 x + 4) - (x - 3) = 3

x - x - 20 = 0

x^{\frac{2}{3}} = 100