(0.3-x)(1.5-x)+0.9(0.375)=0

Lösung

(0.3 - x) (1.5 - x) + 0.9 (0.375) = 0

x = \frac{1.8 + 0.09}{2}, x = \frac{1.8 - 0.09}{2}

Dezimale

x = 1.05, x = 0.75

Schritte zur Lösung

(0.3 - x) (1.5 - x) + 0.9 (0.375) = 0

Schreibe

(0.3 - x) (1.5 - x) + 0.9 (0.375)

um:

x^{2} - 1.8 x + 0.7875

x^{2} - 1.8 x + 0.7875 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- ( - 1.8 ) \pm ( - 1.8 ) ^{2} - 4 \cdot 1 \cdot 0.7875}{2 \cdot 1}

(- 1.8)^{2} - 4 \cdot 1 \cdot 0.7875 = 0.09

x_{1, 2} = \frac{- ( - 1.8 ) \pm 0.09}{2 \cdot 1}

Trenne die Lösungen

x_{1} = \frac{- ( - 1.8 ) + 0.09}{2 \cdot 1}, x_{2} = \frac{- ( - 1.8 ) - 0.09}{2 \cdot 1}

x = \frac{- ( - 1.8 ) + 0.09}{2 \cdot 1} : \frac{1.8 + 0.09}{2}

x = \frac{- ( - 1.8 ) - 0.09}{2 \cdot 1} : \frac{1.8 - 0.09}{2}

Die Lösungen für die quadratische Gleichung sind:

x = \frac{1.8 + 0.09}{2}, x = \frac{1.8 - 0.09}{2}

3 x^{2} - 3 x - 216 = 0

- 3 y^{2} + 8 y - 3 = 0

so l v e f or x, f (x + 3) = x^{2}

(3 z - 18)^{2} + 42 = - 3

r^{2} = 8