x^2-(c+6)*x+2(2c-1)=0

Lösung

x^{2} - (c + 6) \cdot x + 2 (2 c - 1) = 0

x = \frac{c + 6 + c ^{2} - 4 c + 44}{2}, x = \frac{c + 6 - c ^{2} - 4 c + 44}{2}

Schritte zur Lösung

x^{2} - (c + 6) x + 2 (2 c - 1) = 0

Schreibe

x^{2} - (c + 6) x + 2 (2 c - 1)

um:

x^{2} - c x - 6 x + 4 c - 2

x^{2} - c x - 6 x + 4 c - 2 = 0

Schreibe in der Standard Form

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

x^{2} - (c + 6) x + 4 c - 2 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- ( - c - 6 ) \pm ( - c - 6 ) ^{2} - 4 \cdot 1 \cdot ( 4 c - 2 )}{2 \cdot 1}

Vereinfache

(- c - 6)^{2} - 4 \cdot 1 \cdot (4 c - 2) : c^{2} - 4 c + 44

x_{1, 2} = \frac{- ( - c - 6 ) \pm c ^{2} - 4 c + 44}{2 \cdot 1}

Trenne die Lösungen

x_{1} = \frac{- ( - c - 6 ) + c ^{2} - 4 c + 44}{2 \cdot 1}, x_{2} = \frac{- ( - c - 6 ) - c ^{2} - 4 c + 44}{2 \cdot 1}

x = \frac{- ( - c - 6 ) + c ^{2} - 4 c + 44}{2 \cdot 1} : \frac{c + 6 + c ^{2} - 4 c + 44}{2}

x = \frac{- ( - c - 6 ) - c ^{2} - 4 c + 44}{2 \cdot 1} : \frac{c + 6 - c ^{2} - 4 c + 44}{2}

Die Lösungen für die quadratische Gleichung sind:

x = \frac{c + 6 + c ^{2} - 4 c + 44}{2}, x = \frac{c + 6 - c ^{2} - 4 c + 44}{2}

so l v e f or y, u = x^{3} - 3 x \cdot y^{2} + 3 x^{2} - 2 y^{2} + 2 x + 1

so l v e f or x, z = 8 - x^{2} - y^{2}

12 x^{2} + 13 x + 3 = 0

[x^{2} - 1] = - 1

so l v e f or x, (y^{1})^{1} - 5 y^{1} + 6 y = e^{3} x - x^{2}