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Beliebt Algebra >

completesquare-x^2-3x+3

Lösung

vervollständige das quadrat

- x^{2} - 3 x + 3

Lösung

- (x + \frac{3}{2})^{2} + \frac{21}{4}

Schritte zur Lösung

- x^{2} - 3 x + 3

Schreibe

- x^{2} - 3 x + 3

in dieser Form:

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

Klammere aus

- 1

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

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

Addiere und subtrahiere

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

- (x^{2} + 3 x - 3 + (\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}

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

Vereinfache

- (x + \frac{3}{2})^{2} + \frac{21}{4}

Graph

Beliebte Beispiele

x^{2} + 4^{2} = 25

4(x+5)^2-7(x+2)^2=6x

4 (x + 5)^{2} - 7 (x + 2)^{2} = 6 x

completesquare x^2+6x+73

co m pl e t es q u a re x^{2} + 6 x + 73

-150=90t-4.9t^2

- 150 = 90 t - 4.9 t^{2}

faktorisieren 2x^2+x=15

f a c t or 2 x^{2} + x = 15