(2/7)c^2-(1/2)c-(3/14)=0

Lösung

(\frac{2}{7}) c^{2} - (\frac{1}{2}) c - (\frac{3}{14}) = 0

c = \frac{7 + 97}{8}, c = \frac{7 - 97}{8}

Dezimale

c = 2.10610 \dots, c = - 0.35610 \dots

Schritte zur Lösung

(\frac{2}{7}) c^{2} - (\frac{1}{2}) c - (\frac{3}{14}) = 0

Fasse zusammen

\frac{2}{7} c^{2} - \frac{1}{2} c - \frac{3}{14} = 0

Schreibe in der Standard Form

a x^{2} + b x + c = 0

\frac{2 c ^{2}}{7} - \frac{c}{2} - \frac{3}{14} = 0

Löse mit der quadratischen Formel

c_{1, 2} = \frac{- ( - \frac{1}{2} ) \pm ( - \frac{1}{2} ) ^{2} - 4 \cdot \frac{2}{7} ( - \frac{3}{14} )}{2 \cdot \frac{2}{7}}

(- \frac{1}{2})^{2} - 4 \cdot \frac{2}{7} (- \frac{3}{14}) = \frac{97}{14}

c_{1, 2} = \frac{- ( - \frac{1}{2} ) \pm \frac{97}{14}}{2 \cdot \frac{2}{7}}

Trenne die Lösungen

c_{1} = \frac{- ( - \frac{1}{2} ) + \frac{97}{14}}{2 \cdot \frac{2}{7}}, c_{2} = \frac{- ( - \frac{1}{2} ) - \frac{97}{14}}{2 \cdot \frac{2}{7}}

c = \frac{- ( - \frac{1}{2} ) + \frac{97}{14}}{2 \frac{2}{7}} : \frac{7 + 97}{8}

c = \frac{- ( - \frac{1}{2} ) - \frac{97}{14}}{2 \frac{2}{7}} : \frac{7 - 97}{8}

Die Lösungen für die quadratische Gleichung sind:

c = \frac{7 + 97}{8}, c = \frac{7 - 97}{8}

n^{2} - 5 n = 24

f a c t or 3 a^{4} - a^{2} - 24

\frac{- 11 + n}{15} < - 1

∣ 2 v + 11 ∣ = 3

\frac{9 x}{4} - 6 = \frac{2 x}{3} + \frac{1}{3}