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Beliebt Algebra >

completesquare x^2+5x+2

Lösung

vervollständige das quadrat

x^{2} + 5 x + 2

Lösung

(x + \frac{5}{2})^{2} - \frac{17}{4}

Schritte zur Lösung

x^{2} + 5 x + 2

Schreibe

x^{2} + 5 x + 2

in dieser Form:

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

2 a = 5 : a = \frac{5}{2}

Addiere und subtrahiere

(\frac{5}{2})^{2}

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

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

x^{2} + 5 x + (\frac{5}{2})^{2} = (x + \frac{5}{2})^{2}

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

Vereinfache

(x + \frac{5}{2})^{2} - \frac{17}{4}

Graph

Beliebte Beispiele

18 x^{2} - 9 x = 0

(x - 5)^{2} = - 1

x^{2} + 14 x = - 32

solvefor a,a^2-b^2=0

so l v e f or a, a^{2} - b^{2} = 0

2 m^{2} - 3 = 0