completesquare x^2-3/4 x

Lösung

vervollständige das quadrat

x^{2} - \frac{3}{4} x

(x - \frac{3}{8})^{2} - \frac{9}{64}

Schritte zur Lösung

x^{2} - \frac{3}{4} x

Schreibe in der Standard Form

a x^{2} + b x + c

x^{2} - \frac{3 x}{4}

Schreibe

x^{2} - \frac{3 x}{4}

in dieser Form:

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

2 a = - \frac{3}{4} : a = - \frac{3}{8}

Addiere und subtrahiere

(- \frac{3}{8})^{2}

x^{2} - \frac{3 x}{4} + (- \frac{3}{8})^{2} - (- \frac{3}{8})^{2}

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

x^{2} - \frac{3}{4} x + (- \frac{3}{8})^{2} = (x - \frac{3}{8})^{2}

(x - \frac{3}{8})^{2} - (- \frac{3}{8})^{2}

Vereinfache

(x - \frac{3}{8})^{2} - \frac{9}{64}

4 n^{2} + 5 n - 6 = 0

co m pl e t es q u a re x^{2} + 7 x - 12 = 0

so l v e f or x, y x^{2} - 5 y - x = 0

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

s^{2} + 20 s + 10 = 0