1. Tardigrade
  2. Question
  3. Mathematics
  4. The set of value(s) for K for which the equation |x2-5| x|+6|=2 K has eight real and distinct solution is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The set of value(s) for $K$ for which the equation $\left|x^2-5\right| x|+6|=2 K$ has eight real and distinct solution is

Complex Numbers and Quadratic Equations

Solution:

image
$\left| x ^2-5\right| x |+6|=2 K$ has eight real and distinct solutions, then
$0<2 K <\frac{1}{4} $
$0< K <\frac{1}{8} $