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Beliebt Algebra >

completesquare y^2-9y

Lösung

vervollständige das quadrat

y^{2} - 9 y

Lösung

(y - \frac{9}{2})^{2} - \frac{81}{4}

Schritte zur Lösung

y^{2} - 9 y

Schreibe

y^{2} - 9 y

in dieser Form:

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

2 a = - 9 : a = - \frac{9}{2}

Addiere und subtrahiere

(- \frac{9}{2})^{2}

y^{2} - 9 y + (- \frac{9}{2})^{2} - (- \frac{9}{2})^{2}

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

y^{2} - 9 y + (- \frac{9}{2})^{2} = (y - \frac{9}{2})^{2}

(y - \frac{9}{2})^{2} - (- \frac{9}{2})^{2}

Vereinfache

(y - \frac{9}{2})^{2} - \frac{81}{4}

Graph

Beliebte Beispiele

solvefor x,(y-1)^3=x^2

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

3 x^{2} = 8 x - 7

solvefor x,3x^2-6x=0

so l v e f or x, 3 x^{2} - 6 x = 0

4 x^{2} - 225 = 0

solvefor x,x^2-3ln(y)+y^2=10

so l v e f or x, x^{2} - 3 ln (y) + y^{2} = 10