if exactly one root of equation x^2-(k-1)x+k(k+4)=0 lies between the roots of equation x^2-(k+3)x+k+2=0 then value of k=
i have solved this graphically
can yu solve this mathematically
1. According to the theorem of Viéte (or do you call him Vieta?) the mean of the 2 solutions of the 2nd equation is
2. Solve the 1rt equation using the quadratic formula. After moving some stuff around you'll get:
3. Using the result from 1. you have to solve for k:
I'll leave this for you.
Spoiler: