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Beliebt Algebra >

x^2+4x=sqrt((x^2)+4x)

Lösung

x^{2} + 4 x = (x^{2}) + 4 x

Lösung

x = 0, x = - 4, x = - 2 + 5, x = - 2 - 5

+1

Dezimale

x = 0, x = - 4, x = 0.23606 \dots, x = - 4.23606 \dots

Schritte zur Lösung

x^{2} + 4 x = (x^{2}) + 4 x

Quadriere beide Seiten:

x^{4} + 8 x^{3} + 16 x^{2} = x^{2} + 4 x

x^{4} + 8 x^{3} + 16 x^{2} = x^{2} + 4 x

Löse

x^{4} + 8 x^{3} + 16 x^{2} = x^{2} + 4 x : x = 0, x = - 4, x = - 2 + 5, x = - 2 - 5

x = 0, x = - 4, x = - 2 + 5, x = - 2 - 5

Überprüfe die Lösungen:

x = 0

Wahr

, x = - 4

Wahr

, x = - 2 + 5

Wahr

, x = - 2 - 5

Wahr

Die Lösungen sind

x = 0, x = - 4, x = - 2 + 5, x = - 2 - 5

Graph

Beliebte Beispiele

x - 4 - 9 x = 0

12x+2sqrt(x)-2=0

12 x + 2 x - 2 = 0

x + 3 = 3

x^2-5=sqrt(x+2)

x^{2} - 5 = x + 2

x^{2/3}-2x^{1/3}-8=0

x^{\frac{2}{3}} - 2 x^{\frac{1}{3}} - 8 = 0