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Beliebt Algebra >

completesquare x^2+x+1

Lösung

vervollständige das quadrat

x^{2} + x + 1

Lösung

(x + \frac{1}{2})^{2} + \frac{3}{4}

Schritte zur Lösung

x^{2} + x + 1

Schreibe

x^{2} + x + 1

in dieser Form:

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

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

Addiere und subtrahiere

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

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

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

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

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

Vereinfache

(x + \frac{1}{2})^{2} + \frac{3}{4}

Graph

Beliebte Beispiele

solvefor v,E= 1/2 mv^2

so l v e f or v, E = \frac{1}{2} m v^{2}

completesquare 3x^2+2x-1

co m pl e t es q u a re 3 x^{2} + 2 x - 1

x^{2} + b x + c = 0

3 x^{2} + 5 = 5 x^{2} - 8 x

m^{2} + m = 0