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Beliebt Algebra >

completesquare x^2+10x

Lösung

vervollständige das quadrat

x^{2} + 10 x

Lösung

(x + 5)^{2} - 25

Schritte zur Lösung

x^{2} + 10 x

Schreibe

x^{2} + 10 x

in dieser Form:

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

2 a = 10 : a = 5

Addiere und subtrahiere

5^{2}

x^{2} + 10 x + 5^{2} - 5^{2}

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

x^{2} + 10 x + 5^{2} = (x + 5)^{2}

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

Vereinfache

(x + 5)^{2} - 25

Graph

Beliebte Beispiele

solvefor x,x^2+y^2+4x-8y+20=0

so l v e f or x, x^{2} + y^{2} + 4 x - 8 y + 20 = 0

x + 11 = 10 x^{2}

3 x^{2} + 12 x - 21 = 0

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

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

solvefor y,x^2+(y-\sqrt[3]{x^2})^2=1

so l v e f or y, x^{2} + (y - 3 x^{2})^{2} = 1