The number of integral values of k, for which one root of the equation 2x2−8x+k=0 lies in the interval (1, 2) and its other root lies in the interval (2, 3), is :
Solutions · 1
Official solution
\[
f(1)>0⇒k>6f(2)<0⇒k<8f(3)>0⇒k>6k∈(6,8)
\]
Only 1 integral value of k is 7.