Home
Class 10
MATHS
Given that 2 is a root of the equation 3...

Given that 2 is a root of the equation `3x^2-p(x+1)=0` and that the equation `px^2-qx+9=0` has equal roots, find the values of p and q

Text Solution

Verified by Experts

1)`3x^2-p(x+1)=0`
x=2 is a root
`3(2)^2-p(2+1)=0`
`12-3p=0`
`p=4`
`px^2-qx+9=0`
`4x^2-qx+9=0`
`D=0`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

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.

If 2 is a root of the equation x^2+px-8 = 0 and the equation x^2 + px + q = 0 has equal roots, find p, q .

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

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

If -3 is a root of the equation x^2+ px + 6 = 0 and the equation x^2 +px +q = 0 has equal roots, find p,q .

If -4 is a root of the equation x^(2)+px-4=0 and the equation x^(2)+px+q=0 has equal roots, then the value of q is

If 2 is a root of the quadratic equation 3x^2+p x-8=0 and the quadratic equation 4x^2-2p x+k=0 has equal roots, find the value of kdot

If one root of the equation x^(2)+px+12=0 is 4, while the equation x^(2)+px+q=0 has equal roots,then find the value of q.

Given that a,c are the roots of the equation px^2-3x+2=0 and b,d are the roots of the equation qx^2-4x+2=0 , find the values of p and q such that 1/a,1/b,1/c and 1/d are in A.P.