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Beliebt Algebra >

completesquare x^2+3x-2

Lösung

vervollständige das quadrat

x^{2} + 3 x - 2

Lösung

(x + \frac{3}{2})^{2} - \frac{17}{4}

Schritte zur Lösung

x^{2} + 3 x - 2

Schreibe

x^{2} + 3 x - 2

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

Vereinfache

(x + \frac{3}{2})^{2} - \frac{17}{4}

Graph

Beliebte Beispiele

x (x + 1) = 1

solvefor x,x^2+2xy=y^2

so l v e f or x, x^{2} + 2 x y = y^{2}

9 x^{2} - 24 x + 17 = 0

2 x^{2} + 21 x - 11 = 0

6 x^{2} - 12 x = 3