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Beliebt Algebra >

completesquare x^2+x+5/4

Lösung

vervollständige das quadrat

x^{2} + x + \frac{5}{4}

Lösung

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

Schritte zur Lösung

x^{2} + x + \frac{5}{4}

Schreibe

x^{2} + x + \frac{5}{4}

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 + \frac{5}{4} + (\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} + \frac{5}{4} - (\frac{1}{2})^{2}

Vereinfache

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

Graph

Beliebte Beispiele

(x - 1)^{2} + 4 = 0

solvefor x,y=24-6x^2

so l v e f or x, y = 24 - 6 x^{2}

(x + 7)^{2} + 28 = 0

3 x^{2} - 8 x - 9 = 0

x^{2} - 12 = - 2 x