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Beliebt Algebra >

completesquare x^2+5x+3

Lösung

vervollständige das quadrat

x^{2} + 5 x + 3

Lösung

(x + \frac{5}{2})^{2} - \frac{13}{4}

Schritte zur Lösung

x^{2} + 5 x + 3

Schreibe

x^{2} + 5 x + 3

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

Vereinfache

(x + \frac{5}{2})^{2} - \frac{13}{4}

Graph

Beliebte Beispiele

x^{2} = - 62

16 - 2 x^{2} = - 64

(x + 4)^{2} = 2

solvefor x,(x/2)^2pi=1000

so l v e f or x, (\frac{x}{2})^{2} π = 1000

3 x^{2} - 4 x - 2 = - 3