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Beliebt Algebra >

completesquare 2x^2+12x-3

Lösung

vervollständige das quadrat

2 x^{2} + 12 x - 3

Lösung

2 (x + 3)^{2} - 21

Schritte zur Lösung

2 x^{2} + 12 x - 3

Schreibe

2 x^{2} + 12 x - 3

in dieser Form:

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

Klammere aus

2

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

2 a = 6 : a = 3

Addiere und subtrahiere

3^{2}

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

Vereinfache

2 (x + 3)^{2} - 21

Graph

Beliebte Beispiele

4.9 t^{2} + 6 t + 2 = 0

completesquare x^2+4x-12

co m pl e t es q u a re x^{2} + 4 x - 12

solvefor y,x^2+3y^2-4x+24y=-52

so l v e f or y, x^{2} + 3 y^{2} - 4 x + 24 y = - 52

18 x - 6 = 9 x^{2}

solvefor y,x^2y^2+xy=12

so l v e f or y, x^{2} y^{2} + x y = 12