x^4>121x^2

Solution

x^{4} > 121 x^{2}

x < - 11 or x > 11

Interval Notation

(- \infty, - 11) \cup (11, \infty)

Solution steps

x^{4} > 121 x^{2}

Rewrite in standard form

x^{4} - 121 x^{2} > 0

Factor

x^{4} - 121 x^{2} : x^{2} (x + 11) (x - 11)

x^{2} (x + 11) (x - 11) > 0

Identify the intervals

x < - 11 or x > 11

9 b^{2} - 30 a^{2} b + 25 a^{4}

9 a^{2} - 4 b^{2} + 42 a + 49

\frac{3 a ^{2} - 24 a}{3 a ^{2} + 12 a}

ln (e^{x}) = e^{l n (x)}

\frac{x ^{9}}{x ^{4}}