Can anyone help? I'm really stuck on this.

Find all solultions of the equation \(|x^2 - 30x - 1| + |x^2 - 30x + 1| = 30\)

The0neXWZ Apr 6, 2023

#2**+1 **

\(|x^2 - 30x - 1| + |x^2 - 30x + 1| = 30\)

This is how I would takle it.

Let \(T = x^2-30x\)

Then sove for T where

\(|Z - 1| + |Z + 1| = 30\)

consider the expressions in the abolut signs

You have 3 cases to consider

Z<1

-1<= Z <= 1

Z>1

try solving for Z for each of thoses cases

Once you have your Z solutions you can solve for x

Melody Apr 6, 2023