completesquare 2x^2-x

Lösung

vervollständige das quadrat

2 x^{2} - x

2 (x - \frac{1}{4})^{2} - \frac{1}{8}

Schritte zur Lösung

2 x^{2} - x

Schreibe

2 x^{2} - x

in dieser Form:

x^{2} + 2 a x + a^{2}

Klammere aus

2

2 (x^{2} - \frac{x}{2})

2 a = - \frac{1}{2} : a = - \frac{1}{4}

Addiere und subtrahiere

(- \frac{1}{4})^{2}

2 (x^{2} - \frac{x}{2} + (- \frac{1}{4})^{2} - (- \frac{1}{4})^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} - \frac{1}{2} x + (- \frac{1}{4})^{2} = (x - \frac{1}{4})^{2}

2 ((x - \frac{1}{4})^{2} - (- \frac{1}{4})^{2})

Vereinfache

2 (x - \frac{1}{4})^{2} - \frac{1}{8}

\frac{263}{160} \frac{A ^{2}}{2} \cdot 4 \cdot 1 0^{- 7} = 5 \cdot 1 0^{- 6}

6 x^{2} - 10 x + 1 = 0

6 y^{2} + 2 = - y

co m pl e t es q u a re s^{2} + s - 1

16 h^{2} = 25