sqrt(4x-11)=7sqrt(2x)-29

Lösung

4 x - 11 = 7 2 x - 29

x = \frac{42374 + 2209 \frac{4237 4 ^{2}}{4879681} - \frac{725904}{2209}}{4418}

Dezimale

x = 12.72784 \dots

Schritte zur Lösung

4 x - 11 = 7 2 x - 29

Quadratwurzeln entfernen

8836 x^{2} + 160176 x + 725904 = 329672 x

Löse

8836 x^{2} + 160176 x + 725904 = 329672 x : x = \frac{42374 + 2209 \frac{4237 4 ^{2}}{4879681} - \frac{725904}{2209}}{4418}, x = \frac{42374 - 2209 \frac{4237 4 ^{2}}{4879681} - \frac{725904}{2209}}{4418}

x = \frac{42374 + 2209 \frac{4237 4 ^{2}}{4879681} - \frac{725904}{2209}}{4418}, x = \frac{42374 - 2209 \frac{4237 4 ^{2}}{4879681} - \frac{725904}{2209}}{4418}

Überprüfe die Lösungen:

x = \frac{42374 + 2209 \frac{4237 4 ^{2}}{4879681} - \frac{725904}{2209}}{4418}

Wahr

, x = \frac{42374 - 2209 \frac{4237 4 ^{2}}{4879681} - \frac{725904}{2209}}{4418}

Falsch

Deshalb ist die Lösung

x = \frac{42374 + 2209 \frac{4237 4 ^{2}}{4879681} - \frac{725904}{2209}}{4418}

x - 12 = 8

x - 12 = 5

6 y - 1 = 6

2 x^{2} - 4 x - x = 0

4 x - 1 - x - 2 = 3