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Beliebt Algebra >

completesquare x^2+5x-4

Lösung

vervollständige das quadrat

x^{2} + 5 x - 4

Lösung

(x + \frac{5}{2})^{2} - \frac{41}{4}

Schritte zur Lösung

x^{2} + 5 x - 4

Schreibe

x^{2} + 5 x - 4

in dieser Form:

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

2 a = 5 : a = \frac{5}{2}

Addiere und subtrahiere

(\frac{5}{2})^{2}

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

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

x^{2} + 5 x + (\frac{5}{2})^{2} = (x + \frac{5}{2})^{2}

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

Vereinfache

(x + \frac{5}{2})^{2} - \frac{41}{4}

Graph

Beliebte Beispiele

(x + 2) (x + 4) = 2 x

1+(-2/3)-(-m)m= 9/2

1 + (- \frac{2}{3}) - (- m) m = \frac{9}{2}

solvefor R,200= 1/3 piR^2H

so l v e f or R, 200 = \frac{1}{3} π R^{2} H

8 x^{2} - 23 x - 3 = 0

x^2+14x-21=10,xx^2+14x-21=10x

x^{2} + 14 x - 21 = 10, x x^{2} + 14 x - 21 = 10 x