Let m and n be the numbers of real roots of the quadratic equations x^2-12x+[x]+31=0 and x^2-5|x+2|-4=0...

Question

Let m and n be the numbers of real roots of the quadratic equations x^2-12x+[x]+31=0 and x^2-5|x+2|-4=0 respectively, where [x] denotes the greatest integer . Then m^2+mn+n^2 is equal to __________.

Accepted Answer

9

JEE Main 2023 Mathematics question

Solution