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Beliebt Algebra >

completesquare 2x^2-10x

Lösung

vervollständige das quadrat

2 x^{2} - 10 x

Lösung

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

Schritte zur Lösung

2 x^{2} - 10 x

Schreibe

2 x^{2} - 10 x

in dieser Form:

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

Klammere aus

2

2 (x^{2} - 5 x)

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

Addiere und subtrahiere

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

2 (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}

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

Vereinfache

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

Graph

Beliebte Beispiele

x^{2} - 22 + 121 = 0

solvefor x,3x^2-6x-1=0

so l v e f or x, 3 x^{2} - 6 x - 1 = 0

1 = - 2 (x + 1)^{2} + 3

2(x+1/2)^2-9/2 =0

2 (x + \frac{1}{2})^{2} - \frac{9}{2} = 0

completesquare 2x^2+7x+3=0

co m pl e t es q u a re 2 x^{2} + 7 x + 3 = 0