The greatest integral value of c so that both the roots of the equation $(c - 5) x^{2} - 2 c x + (c - 4) = 0$ are positive, one root is less than 2 and other root is lying between 2 and 3 is :
(1) 22 (2) 23 (3) 24 (4) 25

Question

The greatest integral value of c so that both the roots of
the equation c - 5 x 2 - 2 c x + c - 4 = 0 are positive, one root
is less than 2 and other root is lying between 2 and 3 is :
(1) 22 (2) 23 (3) 24 (4) 25

Hari Shankar · Accepted Answer

The greatest integral value of c so that both the roots of the equation c - 5 x 2 - 2 c x + c - 4 = 0 are positive, one root is less than 2 and other root is lying between 2 and 3 is : (1) 22 (2) 23 (3) 24 (4) 25

The greatest integral value of c so that both the roots of the equation $(c - 5) x^{2} - 2 c x + (c - 4) = 0$ are positive, one root is less than 2 and other root is lying between 2 and 3 is :
(1) 22 (2) 23 (3) 24 (4) 25