Question

if roots of the equation 5x^2 + 2x + p(p-2)= 0 are of opposite sign then integral value of p is​

Answer 1

Answer:

so two integral values of p

Step-by-step explanation:

Answer

Open in answr app

Correct option is

D

2

(4p−p2−5)x2−(2p−1)x+3p=0=f(x)

Roots lie on either side of unity.

∴f(1)>0 as (4p−p2−5<0)⟹(4p−p2−5)12−(2p−1)1+3p>0⟹−p2+5p−4>0⟹p2−5p+4<0⟹(p−4)(p−1)<0⟹p∈(1,4)∴p=2,3

So two integral values of p.