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Beliebt Algebra >

completesquare 7x^2+8x

Lösung

vervollständige das quadrat

7 x^{2} + 8 x

Lösung

7 (x + \frac{4}{7})^{2} - \frac{16}{7}

Schritte zur Lösung

7 x^{2} + 8 x

Schreibe

7 x^{2} + 8 x

in dieser Form:

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

Klammere aus

7

7 (x^{2} + \frac{8 x}{7})

2 a = \frac{8}{7} : a = \frac{4}{7}

Addiere und subtrahiere

(\frac{4}{7})^{2}

7 (x^{2} + \frac{8 x}{7} + (\frac{4}{7})^{2} - (\frac{4}{7})^{2})

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

x^{2} + \frac{8}{7} x + (\frac{4}{7})^{2} = (x + \frac{4}{7})^{2}

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

Vereinfache

7 (x + \frac{4}{7})^{2} - \frac{16}{7}

Graph

Beliebte Beispiele

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

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

4 x^{2} + 8 x - 252 = 0

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

2x^2-x+4=x^2+6x-6

2 x^{2} - x + 4 = x^{2} + 6 x - 6

x^{2} = 52