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Beliebt Algebra >

completesquare 4x^2+4x+10

Lösung

vervollständige das quadrat

4 x^{2} + 4 x + 10

Lösung

4 (x + \frac{1}{2})^{2} + 9

Schritte zur Lösung

4 x^{2} + 4 x + 10

Schreibe

4 x^{2} + 4 x + 10

in dieser Form:

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

Klammere aus

4

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

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

Addiere und subtrahiere

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

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

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

Vereinfache

4 (x + \frac{1}{2})^{2} + 9

Graph

Beliebte Beispiele

0.2 x^{2} + 0.6 x = x

solvefor x,x^2+y^2=xy+7

so l v e f or x, x^{2} + y^{2} = x y + 7

x^{2} + 12 x - 27 = 6 x

2 y^{2} + 11 y + 12 = 0

4 (2 x - 1)^{2} = 8