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Beliebt Algebra >

completesquare-x^2+5x+3

Lösung

vervollständige das quadrat

- x^{2} + 5 x + 3

Lösung

- (x - \frac{5}{2})^{2} + \frac{37}{4}

Schritte zur Lösung

- x^{2} + 5 x + 3

Schreibe

- x^{2} + 5 x + 3

in dieser Form:

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

Klammere aus

- 1

- (x^{2} - 5 x - 3)

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

Addiere und subtrahiere

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

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

Vereinfache

- (x - \frac{5}{2})^{2} + \frac{37}{4}

Graph

Beliebte Beispiele

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

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

2 x^{2} = 4 x^{2} - 32

2 x^{2} = 4 x^{2} - 72

0 = x^{2} + 14 x + 49

(x+20)*(x-20)=3200

(x + 20) \cdot (x - 20) = 3200