(x-6)^2<sqrt(10)(x-6)

Lösung

(x - 6)^{2} < 10 (x - 6)

- \frac{5}{2} - \frac{- 12 - 10}{2} < x < \frac{5}{2} - \frac{- 12 - 10}{2}

Intervall-Notation

(- \frac{5}{2} - \frac{- 12 - 10}{2}, \frac{5}{2} - \frac{- 12 - 10}{2})

Dezimale

6 < x < 9.16227 \dots

Schritte zur Lösung

(x - 6)^{2} < 10 (x - 6)

Rewrite in standard form

x^{2} - 12 x + 36 + 610 - 10 x < 0

Vervollständige das Quadrat

x^{2} - 12 x + 36 + 610 - 10 x : (x + \frac{- 12 - 10}{2})^{2} - \frac{77}{2} + 36

(x + \frac{- 12 - 10}{2})^{2} - \frac{77}{2} + 36 < 0

Identifiziere die Intervalle

- \frac{5}{2} - \frac{- 12 - 10}{2} < x < \frac{5}{2} - \frac{- 12 - 10}{2}

\frac{2}{3} y - \frac{2}{5} = 5

s im pl i f y (- 1)^{10}

4 (x + 4) = 52

s im pl i f y \frac{1}{- 4.9 9 ^{2} - 25}

∣ x + 2 ∣ < 3