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Beliebt Algebra >

completesquare 4x^2-12x

Lösung

vervollständige das quadrat

4 x^{2} - 12 x

Lösung

4 (x - \frac{3}{2})^{2} - 9

Schritte zur Lösung

4 x^{2} - 12 x

Schreibe

4 x^{2} - 12 x

in dieser Form:

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

Klammere aus

4

4 (x^{2} - 3 x)

2 a = - 3 : a = - \frac{3}{2}

Addiere und subtrahiere

(- \frac{3}{2})^{2}

4 (x^{2} - 3 x + (- \frac{3}{2})^{2} - (- \frac{3}{2})^{2})

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

x^{2} - 3 x + (- \frac{3}{2})^{2} = (x - \frac{3}{2})^{2}

4 ((x - \frac{3}{2})^{2} - (- \frac{3}{2})^{2})

Vereinfache

4 (x - \frac{3}{2})^{2} - 9

Graph

Beliebte Beispiele

u^{2} - 8 = 7 u

4 x (1 - x) = x

completesquare x^2-10x-20=0

co m pl e t es q u a re x^{2} - 10 x - 20 = 0

x 1/4 x-3/5 (x-3)=20

x \frac{1}{4} x - \frac{3}{5} (x - 3) = 20

(d + 3)^{2} = 7