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Beliebt Algebra >

completesquare x^2+3x+5

Lösung

vervollständige das quadrat

x^{2} + 3 x + 5

Lösung

(x + \frac{3}{2})^{2} + \frac{11}{4}

Schritte zur Lösung

x^{2} + 3 x + 5

Schreibe

x^{2} + 3 x + 5

in dieser Form:

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

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

Addiere und subtrahiere

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

x^{2} + 3 x + 5 + (\frac{3}{2})^{2} - (\frac{3}{2})^{2}

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

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

(x + \frac{3}{2})^{2} + 5 - (\frac{3}{2})^{2}

Vereinfache

(x + \frac{3}{2})^{2} + \frac{11}{4}

Graph

Beliebte Beispiele

3 x^{2} + 10 x = 0

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4^{2} + 9^{2} = c^{2}

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