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Beliebt Algebra >

completesquare x^2-3x-10

Lösung

vervollständige das quadrat

x^{2} - 3 x - 10

Lösung

(x - \frac{3}{2})^{2} - \frac{49}{4}

Schritte zur Lösung

x^{2} - 3 x - 10

Schreibe

x^{2} - 3 x - 10

in dieser Form:

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

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

Addiere und subtrahiere

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

x^{2} - 3 x - 10 + (- \frac{3}{2})^{2} - (- \frac{3}{2})^{2}

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

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

(x - \frac{3}{2})^{2} - 10 - (- \frac{3}{2})^{2}

Vereinfache

(x - \frac{3}{2})^{2} - \frac{49}{4}

Graph

Beliebte Beispiele

A(x)=0.45x^2-41x+1059

A (x) = 0.45 x^{2} - 41 x + 1059

x^{2} + 2 x - 300 = 0

x^{2} = 56 - x

3/2 (4x^2-20x+60)=0

\frac{3}{2} (4 x^{2} - 20 x + 60) = 0

x^{2} - 5 a + 8 x = 0