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Beliebt Algebra >

completesquare-3x^2+4x

Lösung

vervollständige das quadrat

- 3 x^{2} + 4 x

Lösung

- 3 (x - \frac{2}{3})^{2} + \frac{4}{3}

Schritte zur Lösung

- 3 x^{2} + 4 x

Schreibe

- 3 x^{2} + 4 x

in dieser Form:

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

Klammere aus

- 3

- 3 (x^{2} - \frac{4 x}{3})

2 a = - \frac{4}{3} : a = - \frac{2}{3}

Addiere und subtrahiere

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

- 3 (x^{2} - \frac{4 x}{3} + (- \frac{2}{3})^{2} - (- \frac{2}{3})^{2})

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

x^{2} - \frac{4}{3} x + (- \frac{2}{3})^{2} = (x - \frac{2}{3})^{2}

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

Vereinfache

- 3 (x - \frac{2}{3})^{2} + \frac{4}{3}

Graph

Beliebte Beispiele

s^2+(2+0.1)s+0.1=0

s^{2} + (2 + 0.1) s + 0.1 = 0

y^{2} - 20 = 101

(2sqrt(3))^2+2^2=x^2

(23)^{2} + 2^{2} = x^{2}

(x^2)/(25)-(x^2)/(144)=1

\frac{x ^{2}}{25} - \frac{x ^{2}}{144} = 1

(2 x + 1)^{2} = 4