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

Lösung

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

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

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

2 x - 3 + 2 x + 4 = 6 x + 13

5 x^{\frac{1}{2}} = 2 x + 2

x + 5 - 2 x - 7 = 2

3 x^{2} + 3 x - 2 + 2 x^{2} + 2 x - 3 = x^{2} + x + 1

so l v e f or x, x^{\frac{2}{3}} + y^{\frac{2}{3}} = a^{\frac{2}{3}}