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Beliebt Algebra >

completesquare 4x^2-4x+3

Lösung

vervollständige das quadrat

4 x^{2} - 4 x + 3

Lösung

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

Schritte zur Lösung

4 x^{2} - 4 x + 3

Schreibe

4 x^{2} - 4 x + 3

in dieser Form:

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

Klammere aus

4

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

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

Addiere und subtrahiere

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

4 (x^{2} - x + \frac{3}{4} + (- \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{3}{4} - (- \frac{1}{2})^{2})

Vereinfache

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

Graph

Beliebte Beispiele

2 x^{2} - 12 x + 16 = 0

faktorisieren x^2-5x+6=0

f a c t or x^{2} - 5 x + 6 = 0

5 x^{2} - 500 = 0

solvefor a,a^2=b^2+c^2

so l v e f or a, a^{2} = b^{2} + c^{2}

0.2x^2-0.4x-2.1=0

0.2 x^{2} - 0.4 x - 2.1 = 0