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Beliebt Algebra >

completesquare 2x^2-6x+2

Lösung

vervollständige das quadrat

2 x^{2} - 6 x + 2

Lösung

2 (x - \frac{3}{2})^{2} - \frac{5}{2}

Schritte zur Lösung

2 x^{2} - 6 x + 2

Schreibe

2 x^{2} - 6 x + 2

in dieser Form:

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

Klammere aus

2

2 (x^{2} - 3 x + 1)

2 a = - 3 : a = - \frac{3}{2}

Addiere und subtrahiere

(- \frac{3}{2})^{2}

2 (x^{2} - 3 x + 1 + (- \frac{3}{2})^{2} - (- \frac{3}{2})^{2})

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

x^{2} - 3 x + (- \frac{3}{2})^{2} = (x - \frac{3}{2})^{2}

2 ((x - \frac{3}{2})^{2} + 1 - (- \frac{3}{2})^{2})

Vereinfache

2 (x - \frac{3}{2})^{2} - \frac{5}{2}

Graph

Beliebte Beispiele

completesquare 6x^2-x-2=0

co m pl e t es q u a re 6 x^{2} - x - 2 = 0

7 y^{2} + 23 y - 20 = 0

(x - 1) \cdot x = 12

25 x^{2} - 8 = 0

2 w^{2} - w - 28 = 0