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Beliebt Algebra >

completesquare 3x^2+18x+8

Lösung

vervollständige das quadrat

3 x^{2} + 18 x + 8

Lösung

3 (x + 3)^{2} - 19

Schritte zur Lösung

3 x^{2} + 18 x + 8

Schreibe

3 x^{2} + 18 x + 8

in dieser Form:

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

Klammere aus

3

3 (x^{2} + 6 x + \frac{8}{3})

2 a = 6 : a = 3

Addiere und subtrahiere

3^{2}

3 (x^{2} + 6 x + \frac{8}{3} + 3^{2} - 3^{2})

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

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

3 ((x + 3)^{2} + \frac{8}{3} - 3^{2})

Vereinfache

3 (x + 3)^{2} - 19

Graph

Beliebte Beispiele

solvefor x,x^2+y^2=y^3+2x-y

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

4 x^{2} - 3 = 12 x

- 2 x^{2} + x - 4 = 0

completesquare x^2-6x+4

co m pl e t es q u a re x^{2} - 6 x + 4

6 x^{2} - 36 x + 72 = 0