vereinfachen (3/(2sqrt(x-4)))^2

Lösung

vereinfachen

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

\frac{9}{4 ( x - 4 )}

Schritte zur Lösung

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

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

3^{2} = 9

= \frac{9}{( 2 x - 4 ) ^{2}}

Vereinfache

(2 x - 4)^{2} : 4 (x - 4)

= \frac{9}{4 ( x - 4 )}

64 x^{2} + 48 x + 9 = 0

37 x^{2} = 49 5^{2}

∣ x + 4 ∣ > 9

1 - x > 0

- 100 x (- 25 x^{2} + 9) > 0