Question 83 of 157EasyMCQ
The number of real solutions of the equation \[{x^2} - 3\left| x \right| + 2 = 0\] is
Solutions · 1
Official solution
\[{x^2} - 3\left| x \right| + 2 = 0\]
\[ \Rightarrow {\left| x \right|^2} - 3\left| x \right| + 2 = 0\]
\[\left( {\left| x \right| - 2} \right)\left( {\left| x \right| - 1} \right) = 0\]
\[\left| x \right| = 1,2\] or \[x = \pm 1, \pm 2\]
\[\therefore\] No. of solution =4 Answer the question to unlock