(9.81)/2 x^2+9.81x-(3(33.18^2))/4 =0

Lösung

\frac{9.81}{2} x^{2} + 9.81 x - \frac{3 ( 33.1 8 ^{2} )}{4} = 0

x = \frac{- 39.24 + 1539.7776 + \frac{518397.630912}{2}}{39.24}, x = \frac{- 39.24 - 1539.7776 + \frac{518397.630912}{2}}{39.24}

Dezimale

x = 12.01288 \dots, x = - 14.01288 \dots

Schritte zur Lösung

\frac{9.81}{2} x^{2} + 9.81 x - \frac{3 ( 33.1 8 ^{2} )}{4} = 0

Finde das kleinste gemeinsame Vielfache von

2, 4 : 4

Multipliziere mit dem kleinsten gemeinsamen Multiplikator=

4

\frac{9.81}{2} x^{2} \cdot 4 + 9.81 x \cdot 4 - \frac{3 \cdot 33.1 8 ^{2}}{4} \cdot 4 = 0 \cdot 4

Vereinfache

\frac{39.24 x ^{2}}{2} + 39.24 x - 3302.7372 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- 39.24 \pm 39.2 4 ^{2} - 4 \cdot \frac{39.24}{2} ( - 3302.7372 )}{2 \cdot \frac{39.24}{2}}

39.2 4^{2} - 4 \cdot \frac{39.24}{2} (- 3302.7372) = 1539.7776 + \frac{518397.630912}{2}

x_{1, 2} = \frac{- 39.24 \pm 1539.7776 + \frac{518397.630912}{2}}{2 \cdot \frac{39.24}{2}}

Trenne die Lösungen

x_{1} = \frac{- 39.24 + 1539.7776 + \frac{518397.630912}{2}}{2 \cdot \frac{39.24}{2}}, x_{2} = \frac{- 39.24 - 1539.7776 + \frac{518397.630912}{2}}{2 \cdot \frac{39.24}{2}}

x = \frac{- 39.24 + 1539.7776 + \frac{518397.630912}{2}}{2 \frac{39.24}{2}} : \frac{- 39.24 + 1539.7776 + \frac{518397.630912}{2}}{39.24}

x = \frac{- 39.24 - 1539.7776 + \frac{518397.630912}{2}}{2 \frac{39.24}{2}} : \frac{- 39.24 - 1539.7776 + \frac{518397.630912}{2}}{39.24}

Die Lösungen für die quadratische Gleichung sind:

x = \frac{- 39.24 + 1539.7776 + \frac{518397.630912}{2}}{39.24}, x = \frac{- 39.24 - 1539.7776 + \frac{518397.630912}{2}}{39.24}

10 k^{2} + 2 = - 63

x^{2} - x = 2 x

3 x (x - 2) + 9 (x - 2) = 0

co m pl e t es q u a re x^{2} + a x + b

k^{2} - k - 56 = 0