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Beliebt Algebra >

completesquare x^2+3x-1

Lösung

vervollständige das quadrat

x^{2} + 3 x - 1

Lösung

(x + \frac{3}{2})^{2} - \frac{13}{4}

Schritte zur Lösung

x^{2} + 3 x - 1

Schreibe

x^{2} + 3 x - 1

in dieser Form:

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

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

Addiere und subtrahiere

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

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

Vereinfache

(x + \frac{3}{2})^{2} - \frac{13}{4}

Graph

Beliebte Beispiele

- 3 x^{2} = - 3

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

solvefor f,(f)^2=x^4+5x^3-2x+3

so l v e f or f, (f)^{2} = x^{4} + 5 x^{3} - 2 x + 3

x^{2} + 12 x - 1 = 0

(2x-3)2+x^2+6=(3x+1)(3x-1)

(2 x - 3) 2 + x^{2} + 6 = (3 x + 1) (3 x - 1)