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Beliebt Algebra >

completesquare x^2+x+5

Lösung

vervollständige das quadrat

x^{2} + x + 5

Lösung

(x + \frac{1}{2})^{2} + \frac{19}{4}

Schritte zur Lösung

x^{2} + x + 5

Schreibe

x^{2} + x + 5

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 + 5 + (\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} + 5 - (\frac{1}{2})^{2}

Vereinfache

(x + \frac{1}{2})^{2} + \frac{19}{4}

Graph

Beliebte Beispiele

9(x^2-14)-12=-17

9 (x^{2} - 14) - 12 = - 17

20 x^{2} = - 25 x

6 x^{2} - x = 1

3 x^{2} = 5 x - 6

solvefor x,x^2y+3xy^3-x=3

so l v e f or x, x^{2} y + 3 x y^{3} - x = 3