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Beliebt Algebra >

completesquare 2x^2-6x

Lösung

vervollständige das quadrat

2 x^{2} - 6 x

Lösung

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

Schritte zur Lösung

2 x^{2} - 6 x

Schreibe

2 x^{2} - 6 x

in dieser Form:

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

Klammere aus

2

2 (x^{2} - 3 x)

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

Addiere und subtrahiere

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

2 (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}

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

Vereinfache

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

Graph

Beliebte Beispiele

solvefor p,pqx^2+(p^2-q^2)x=pq

so l v e f or p, pq x^{2} + (p^{2} - q^{2}) x = pq

12x^2-224x+703=0

12 x^{2} - 224 x + 703 = 0

solvefor a,(a+b)^2=81

so l v e f or a, (a + b)^{2} = 81

4 = (x + 2)^{2}

2 x - 1 = x^{2} - 4 x + 4