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Beliebt Algebra >

completesquare x^2+3x+6

Lösung

vervollständige das quadrat

x^{2} + 3 x + 6

Lösung

(x + \frac{3}{2})^{2} + \frac{15}{4}

Schritte zur Lösung

x^{2} + 3 x + 6

Schreibe

x^{2} + 3 x + 6

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 + 6 + (\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} + 6 - (\frac{3}{2})^{2}

Vereinfache

(x + \frac{3}{2})^{2} + \frac{15}{4}

Graph

Beliebte Beispiele

ax^2+(-2a^2+2)x-4a=0

a x^{2} + (- 2 a^{2} + 2) x - 4 a = 0

5 x^{2} = 46 + 9

8 m^{2} = 15

(2x-6)^2-12(5x+3)=0

(2 x - 6)^{2} - 12 (5 x + 3) = 0

x (x + 1) = 4