3.29x=5.5sqrt(x)+10000

Lösung

3.29 x = 5.5 x + 10000

x = \frac{65830.25 + 65830.2 5 ^{2} - 4329640000}{21.6482}

Dezimale

x = 3133.08721 \dots

Schritte zur Lösung

3.29 x = 5.5 x + 10000

Quadratwurzeln entfernen

10.8241 x^{2} - 65800 x + 100000000 = 30.25 x

Löse

10.8241 x^{2} - 65800 x + 100000000 = 30.25 x : x = \frac{65830.25 + 65830.2 5 ^{2} - 4329640000}{21.6482}, x = \frac{65830.25 - 65830.2 5 ^{2} - 4329640000}{21.6482}

x = \frac{65830.25 + 65830.2 5 ^{2} - 4329640000}{21.6482}, x = \frac{65830.25 - 65830.2 5 ^{2} - 4329640000}{21.6482}

Überprüfe die Lösungen:

x = \frac{65830.25 + 65830.2 5 ^{2} - 4329640000}{21.6482}

Wahr

, x = \frac{65830.25 - 65830.2 5 ^{2} - 4329640000}{21.6482}

Falsch

Deshalb ist die Lösung

x = \frac{65830.25 + 65830.2 5 ^{2} - 4329640000}{21.6482}

2 x + 3 = 2 x + 6

x - 7 = 9 x + 40

4 + x = x - 1

2 x - 3 - x + 1 = 1

6 - (2 x + 5)^{\frac{1}{2}} = 0