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Beliebt Algebra >

completesquare x^2+x

Lösung

vervollständige das quadrat

x^{2} + x

Lösung

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

Schritte zur Lösung

x^{2} + x

Schreibe

x^{2} + x

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

Vereinfache

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

Graph

Beliebte Beispiele

x^{2} + 2 x + 15 = 0

\frac{1}{4} a^{2} = 10

(x^2-4x+7)log_{10}(5)+log_{10}(16)=4

(x^{2} - 4 x + 7) lo g_{10} (5) + lo g_{10} (16) = 4

20 x^{2} - 27 x = 14

solvefor x,x^2+y^2+z^2=4

so l v e f or x, x^{2} + y^{2} + z^{2} = 4