Home
Class 11
MATHS
If the roots of the quadratic equation (...

If the roots of the quadratic equation `(4p-p^2-5)x^2-(2p-1)x+3p=0` lie on either side of unit, then the number of integer values of `p` is a.`1` b. `2` c. `3` d. 4

Promotional Banner

Similar Questions

Explore conceptually related problems

if the roots of the quadratic equation (4p - p^(2) - 5)x^(2) -(2p−1)x+3p=0 are greater then - 2 less then 4 then p lie in the interval

If (1-p) is a root of quadratic equation x^(2)+px+(1-p)=0 then its roots are

If p is real, discuss the nature of the roots of the equation 4x^2+4px+p+2=0 , in terms of p.

If the sum of roots of the quadratic equation is 1/(x + p) + 1/(x + q) = 1/r is zero, show that the product of the roots is - ((p^(2) +q^(2))/2)

If k be an integer and p is a prime such that the quadratic equation x^(2)+k x+p=0 has two distinct positive integer solutions find the value of -(k+p) .

The quadratic equation p(x)=0 with real coefficients has purely imaginary roots. Then the equation p(p(x))=0

Number of values of x satisfying the pair of quadratic equations x^(2)-p x+20=0 and x^(2)-20 x+p=0 for some p in R , is

If -4 is a root of the equation x^(2)+px-4=0 and if the equation x^(2)+px+q=0 are equal roots, find the values of p and q.

Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 has a real solution.