Question

Solve for x: | x^2 -9 |+| x^2 - 4 | = 5​

Answer 1

Explanation:

$| {x}^{2} - 9| + | {x}^{2} - 4| = 5 \\ \\ {x}^{2} - 9 + {x}^{2} - 4 = 5 \\ \\ 2 {x}^{2} - 13 = 5 \\ \\ 2 {x}^{2} = 5 + 13 \\ \\ 2 {x}^{2} = 18 \\ \\ {x}^{2} = 9 \\ \\ x = \sqrt{9 } \\ \\ x = - + 3$