150000000x^2+x-0.29=0

Lösung

150000000 x^{2} + x - 0.29 = 0

x = \frac{- 100 + 1740000010000}{30000000000}, x = \frac{- 100 - 1740000010000}{30000000000}

Dezimale

x = 0.00004 \dots, x = - 0.00004 \dots

Schritte zur Lösung

150000000 x^{2} + x - 0.29 = 0

Multipliziere beide Seiten mit

100

15000000000 x^{2} + 100 x - 29 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 \cdot 15000000000 ( - 29 )}{2 \cdot 15000000000}

10 0^{2} - 4 \cdot 15000000000 (- 29) = 1740000010000

x_{1, 2} = \frac{- 100 \pm 1740000010000}{2 \cdot 15000000000}

Trenne die Lösungen

x_{1} = \frac{- 100 + 1740000010000}{2 \cdot 15000000000}, x_{2} = \frac{- 100 - 1740000010000}{2 \cdot 15000000000}

x = \frac{- 100 + 1740000010000}{2 \cdot 15000000000} : \frac{- 100 + 1740000010000}{30000000000}

x = \frac{- 100 - 1740000010000}{2 \cdot 15000000000} : \frac{- 100 - 1740000010000}{30000000000}

Die Lösungen für die quadratische Gleichung sind:

x = \frac{- 100 + 1740000010000}{30000000000}, x = \frac{- 100 - 1740000010000}{30000000000}

x (x - 3) = 2 (10 - x)

9 x^{2} - 4 = 7 x^{2} - 7 x

2 x^{2} = - 72

so l v e f or p, 4 x^{2} - 9 = (p x + t) (p x - t)

a^{2} - 2 a + 2 = 0