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Beliebt Algebra >

completesquare x^2-7x+6

Lösung

vervollständige das quadrat

x^{2} - 7 x + 6

Lösung

(x - \frac{7}{2})^{2} - \frac{25}{4}

Schritte zur Lösung

x^{2} - 7 x + 6

Schreibe

x^{2} - 7 x + 6

in dieser Form:

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

2 a = - 7 : a = - \frac{7}{2}

Addiere und subtrahiere

(- \frac{7}{2})^{2}

x^{2} - 7 x + 6 + (- \frac{7}{2})^{2} - (- \frac{7}{2})^{2}

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

x^{2} - 7 x + (- \frac{7}{2})^{2} = (x - \frac{7}{2})^{2}

(x - \frac{7}{2})^{2} + 6 - (- \frac{7}{2})^{2}

Vereinfache

(x - \frac{7}{2})^{2} - \frac{25}{4}

Graph

Beliebte Beispiele

16-x^2=(3x-4)^2

16 - x^{2} = (3 x - 4)^{2}

n^{2} + 3 n + 2 = 0

solvefor x,x^2y^2+2y^3=x-2y

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

solvefor y,xy^2-2x^3=2

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

x^{2} + 15 = 7 x