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Beliebt Algebra >

completesquare 4x^2+20x

Lösung

vervollständige das quadrat

4 x^{2} + 20 x

Lösung

4 (x + \frac{5}{2})^{2} - 25

Schritte zur Lösung

4 x^{2} + 20 x

Schreibe

4 x^{2} + 20 x

in dieser Form:

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

Klammere aus

4

4 (x^{2} + 5 x)

2 a = 5 : a = \frac{5}{2}

Addiere und subtrahiere

(\frac{5}{2})^{2}

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

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

Vereinfache

4 (x + \frac{5}{2})^{2} - 25

Graph

Beliebte Beispiele

x - 7 = (x - 1)^{2}

solvefor x,25x^2+kx+4=0

so l v e f or x, 25 x^{2} + k x + 4 = 0

4x^2+20=10x+3x^2-4

4 x^{2} + 20 = 10 x + 3 x^{2} - 4

3 q^{2} - 147 = 0

completesquare 2x^2-6x+5=0

co m pl e t es q u a re 2 x^{2} - 6 x + 5 = 0