Home
Class 9
MATHS
If one zero of the polynomial 2x^2-5x -(...

If one zero of the polynomial `2x^2-5x -(2k + 1)` is twice the other, then find both the zeroes of the polynomial and the value of `k`

Text Solution

Verified by Experts

eqn= `2x^2-5x-(2k+1)`
let one root be `alpha` then other root is `2alpha`.
sum of roots=`3alpha=5/2`
`alpha=5/6`
`2alpha=5/3`
product of roots=`25/18=(-2k-1)/2`
=`25/9=-2k-1`
=k=`-17/9`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the zeroes of the polynomial x^2-5x

If one root of the polynomial p(x) =x^2-6x+k is twice the other then find the value of k.

If one zero of the polynomial p(x) = x^(2) - 6x + k is twice the other then find the value of k .

If one zero of the polynomial kx^(2)-3x+k is 1, find the value of k.

If one zero of the quadratic polynomial x^2 - 5x - 6 is 6 then find the other zero

If one of the zeroes of the polynomial f(x) = x^2 - 7x - 8 is - 1, then find the other zero.

If one zero of the polynomial x^(2)+5x+k is 2, find the value of k.

If the zeroes of the polynomial x^2-5x+k are the reciprocal of each other, then find the value of k.

If one zero of a polynomial 3x^(2) -8x + 2k +1 = 0 is seven times the other then k = …………….

11. If -3 is one of the zeroes of the polynomial (k-1)x^(2)+kx+1, find the value of k