z^2-1.8994z+0.9607=0

Lösung

z^{2} - 1.8994 z + 0.9607 = 0

z = \frac{1.8994}{2} + i \frac{0.23507964}{2}, z = \frac{1.8994}{2} - i \frac{0.23507964}{2}

Schritte zur Lösung

z^{2} - 1.8994 z + 0.9607 = 0

Löse mit der quadratischen Formel

z_{1, 2} = \frac{- ( - 1.8994 ) \pm ( - 1.8994 ) ^{2} - 4 \cdot 1 \cdot 0.9607}{2 \cdot 1}

Vereinfache

(- 1.8994)^{2} - 4 \cdot 1 \cdot 0.9607 : 0.23507964 i

z_{1, 2} = \frac{- ( - 1.8994 ) \pm 0.23507964 i}{2 \cdot 1}

Trenne die Lösungen

z_{1} = \frac{- ( - 1.8994 ) + 0.23507964 i}{2 \cdot 1}, z_{2} = \frac{- ( - 1.8994 ) - 0.23507964 i}{2 \cdot 1}

z = \frac{- ( - 1.8994 ) + 0.23507964 i}{2 \cdot 1} : \frac{1.8994}{2} + i \frac{0.23507964}{2}

z = \frac{- ( - 1.8994 ) - 0.23507964 i}{2 \cdot 1} : \frac{1.8994}{2} - i \frac{0.23507964}{2}

Die Lösungen für die quadratische Gleichung sind:

z = \frac{1.8994}{2} + i \frac{0.23507964}{2}, z = \frac{1.8994}{2} - i \frac{0.23507964}{2}

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