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Beliebt Algebra >

completesquare 2s^2+s+2

Lösung

vervollständige das quadrat

2 s^{2} + s + 2

Lösung

2 (s + \frac{1}{4})^{2} + \frac{15}{8}

Schritte zur Lösung

2 s^{2} + s + 2

Schreibe

2 s^{2} + s + 2

in dieser Form:

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

Klammere aus

2

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

2 a = \frac{1}{2} : a = \frac{1}{4}

Addiere und subtrahiere

(\frac{1}{4})^{2}

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

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

s^{2} + \frac{1}{2} s + (\frac{1}{4})^{2} = (s + \frac{1}{4})^{2}

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

Vereinfache

2 (s + \frac{1}{4})^{2} + \frac{15}{8}

Graph

Beliebte Beispiele

x^2+15/4 =(3x^2-x+3)/4+3

x^{2} + \frac{15}{4} = \frac{3 x ^{2} - x + 3}{4} + 3

solvefor x,y^2=2x^2

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

x^{2} + 13 x - 32 = 0

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

v^{2} + 5 v + 28 = 0