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Beliebt Algebra >

completesquare x^2+2/3 x+1

Lösung

vervollständige das quadrat

x^{2} + \frac{2}{3} x + 1

Lösung

(x + \frac{1}{3})^{2} + \frac{8}{9}

Schritte zur Lösung

x^{2} + \frac{2}{3} x + 1

Schreibe in der Standard Form

a x^{2} + b x + c

x^{2} + \frac{2 x}{3} + 1

Schreibe

x^{2} + \frac{2 x}{3} + 1

in dieser Form:

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

2 a = \frac{2}{3} : a = \frac{1}{3}

Addiere und subtrahiere

(\frac{1}{3})^{2}

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

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

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

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

Vereinfache

(x + \frac{1}{3})^{2} + \frac{8}{9}

Graph

Beliebte Beispiele

faktorisieren x^2-5x-36=0

f a c t or x^{2} - 5 x - 36 = 0

completesquare x^2+10x+21=0

co m pl e t es q u a re x^{2} + 10 x + 21 = 0

4(x^2-7)+27=-12x^2

4 (x^{2} - 7) + 27 = - 12 x^{2}

x^{2} - 3 x = 6

completesquare x^2-4x-5=0

co m pl e t es q u a re x^{2} - 4 x - 5 = 0