3x^2+8x+5=sqrt(33x^2+76x+35)

Lösung

3 x^{2} + 8 x + 5 = 33 x^{2} + 76 x + 35

x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

Dezimale

x = 0.33333 \dots, x = - 1.66666 \dots, x = - 0.58578 \dots, x = - 3.41421 \dots

Schritte zur Lösung

3 x^{2} + 8 x + 5 = 33 x^{2} + 76 x + 35

Quadriere beide Seiten:

9 x^{4} + 48 x^{3} + 94 x^{2} + 80 x + 25 = 33 x^{2} + 76 x + 35

9 x^{4} + 48 x^{3} + 94 x^{2} + 80 x + 25 = 33 x^{2} + 76 x + 35

Löse

9 x^{4} + 48 x^{3} + 94 x^{2} + 80 x + 25 = 33 x^{2} + 76 x + 35 : x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

Überprüfe die Lösungen:

x = \frac{1}{3}

Wahr

, x = - \frac{5}{3}

Wahr

, x = - 2 + 2

Wahr

, x = - 2 - 2

Wahr

Die Lösungen sind

x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

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

k = 4 + 48 - 4 k

3 x + 5 - 2 = 0

3 x + 5 = 2 - 2 x

4 x + 4 = 9 x + 28