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Beliebt Algebra >

completesquare 2x^2+12x-15

Lösung

vervollständige das quadrat

2 x^{2} + 12 x - 15

Lösung

2 (x + 3)^{2} - 33

Schritte zur Lösung

2 x^{2} + 12 x - 15

Schreibe

2 x^{2} + 12 x - 15

in dieser Form:

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

Klammere aus

2

2 (x^{2} + 6 x - \frac{15}{2})

2 a = 6 : a = 3

Addiere und subtrahiere

3^{2}

2 (x^{2} + 6 x - \frac{15}{2} + 3^{2} - 3^{2})

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

2 ((x + 3)^{2} - \frac{15}{2} - 3^{2})

Vereinfache

2 (x + 3)^{2} - 33

Graph

Beliebte Beispiele

(x + 6)^{2} = 12

λ^{2} - 8 λ + 17 = 0

- 3 p^{2} + 6 p - 2 = 0

2 x^{2} - x + 16 = x

(x - 2)^{2} - 4 x + 8 = 0