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Beliebt Algebra >

completesquare y^2+3y-1

Lösung

vervollständige das quadrat

y^{2} + 3 y - 1

Lösung

(y + \frac{3}{2})^{2} - \frac{13}{4}

Schritte zur Lösung

y^{2} + 3 y - 1

Schreibe

y^{2} + 3 y - 1

in dieser Form:

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

2 a = 3 : a = \frac{3}{2}

Addiere und subtrahiere

(\frac{3}{2})^{2}

y^{2} + 3 y - 1 + (\frac{3}{2})^{2} - (\frac{3}{2})^{2}

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

y^{2} + 3 y + (\frac{3}{2})^{2} = (y + \frac{3}{2})^{2}

(y + \frac{3}{2})^{2} - 1 - (\frac{3}{2})^{2}

Vereinfache

(y + \frac{3}{2})^{2} - \frac{13}{4}

Graph

Beliebte Beispiele

(x-1)^2-x(2x-5)=0

(x - 1)^{2} - x (2 x - 5) = 0

x^2-15x-16=-9x-9

x^{2} - 15 x - 16 = - 9 x - 9

36 x^{2} + 4 = 40

3 x^{2} + 8 = 13

solvefor x,f(x+3)=x^2-4x+4

so l v e f or x, f (x + 3) = x^{2} - 4 x + 4