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Beliebt Algebra >

completesquare a^2-7a

Lösung

vervollständige das quadrat

a^{2} - 7 a

Lösung

(a - \frac{7}{2})^{2} - \frac{49}{4}

Schritte zur Lösung

a^{2} - 7 a

Schreibe

a^{2} - 7 a

in dieser Form:

x^{2} + 2 b x + b^{2}

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

Addiere und subtrahiere

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

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

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

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

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

Vereinfache

(a - \frac{7}{2})^{2} - \frac{49}{4}

Graph

Beliebte Beispiele

9 x^{2} + 8 x - 5 = 3 x^{2}

solvefor y,x^3y^2-6x^2=3y^2-9x

so l v e f or y, x^{3} y^{2} - 6 x^{2} = 3 y^{2} - 9 x

10^2=x^2+(x+2)^2

1 0^{2} = x^{2} + (x + 2)^{2}

completesquare 3x^2+12x+10=0

co m pl e t es q u a re 3 x^{2} + 12 x + 10 = 0

7 x^{2} + 9 x + 1 = 0