Let f(x)=x^2-p x+q, p, q R . If x₁, x₂, x₃, x₄, x₅ (where x_i I ) are the 5 points where g(x)=|f(|x|)| is non-derivable and _ i=1 ^5 |x_i |=10 , then p+q can be:

Step-by-step solution

|x₁ |+ |x₂ |+ |x₃ |+ |x₄ |+ |x₅ |=10 array ll & |x₄ |+ |x₅ |=5 & x₄+x₅=5 & Roots of x^2-p x+q are 1,4 and 2,3 & f(x)=x^2-5 x+4 or x^2-5 x+6 & p+q=9 or 11 array