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Beliebt Algebra >

completesquare x^2+2/5 x+3

Lösung

vervollständige das quadrat

x^{2} + \frac{2}{5} x + 3

Lösung

(x + \frac{1}{5})^{2} + \frac{74}{25}

Schritte zur Lösung

x^{2} + \frac{2}{5} x + 3

Schreibe in der Standard Form

a x^{2} + b x + c

x^{2} + \frac{2 x}{5} + 3

Schreibe

x^{2} + \frac{2 x}{5} + 3

in dieser Form:

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

2 a = \frac{2}{5} : a = \frac{1}{5}

Addiere und subtrahiere

(\frac{1}{5})^{2}

x^{2} + \frac{2 x}{5} + 3 + (\frac{1}{5})^{2} - (\frac{1}{5})^{2}

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

x^{2} + \frac{2}{5} x + (\frac{1}{5})^{2} = (x + \frac{1}{5})^{2}

(x + \frac{1}{5})^{2} + 3 - (\frac{1}{5})^{2}

Vereinfache

(x + \frac{1}{5})^{2} + \frac{74}{25}

Graph

Beliebte Beispiele

6 x^{2} + 7 x + 3 = 0

faktorisieren x^2-7x-18=0

f a c t or x^{2} - 7 x - 18 = 0

(v+3)(v+11)-57=-v(v+8)

(v + 3) (v + 11) - 57 = - v (v + 8)

(2 x - 1) (x - 3) = 0

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

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