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Beliebt Algebra >

completesquare 3x^2-4x+5

Lösung

vervollständige das quadrat

3 x^{2} - 4 x + 5

Lösung

3 (x - \frac{2}{3})^{2} + \frac{11}{3}

Schritte zur Lösung

3 x^{2} - 4 x + 5

Schreibe

3 x^{2} - 4 x + 5

in dieser Form:

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

Klammere aus

3

3 (x^{2} - \frac{4 x}{3} + \frac{5}{3})

2 a = - \frac{4}{3} : a = - \frac{2}{3}

Addiere und subtrahiere

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

3 (x^{2} - \frac{4 x}{3} + \frac{5}{3} + (- \frac{2}{3})^{2} - (- \frac{2}{3})^{2})

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

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

3 ((x - \frac{2}{3})^{2} + \frac{5}{3} - (- \frac{2}{3})^{2})

Vereinfache

3 (x - \frac{2}{3})^{2} + \frac{11}{3}

Graph

Beliebte Beispiele

solvefor x,x(1-x)y^n+(3/2-2x)y^1+2y=0

so l v e f or x, x (1 - x) y^{n} + (\frac{3}{2} - 2 x) y^{1} + 2 y = 0

x^{2} - x = x - 1

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

P^2=2.97370166*10^{-19}*1428300000000^3

P^{2} = 2.97370166 \cdot 1 0^{- 19} \cdot 142830000000 0^{3}

x^{2} - 9 x - 20 = 16