+373 Hey there, Guest!
Let's find the critical points of the inequality:
\(x^3+4x=5x\)
\(x^3+4x−5x=5x−5x\) (Subtract 5x from both sides)
\(x^3−x=0 \)
\(x(x+1)(x−1)=0\) (Factor left side of the equation)
\(x=0\) or \(x=-1\) or \(x=1\)
Check intervals in between critical points. (Test values in the intervals to see if they work.)
\(x<−1\) (Doesn't work in original inequality)
\(−1 (Works in original inequality)
\(0 (Doesn't work in original inequality)
\(x>1\) (Works in original inequality)
Therefore the answers to your equation are:
−1 or x>1
Hope this helped! :)
( ﾟдﾟ)つ Bye
