Question

If α and β are the zeroes of polynomial p(x)=
$7x {}^{2} - 8x + k$
such that α−β=2,then find value of k




​

Answer 1

Step-by-step explanation:

let alfa = a , beta = b

so a+b = 8/7

and a.b = k/7

(a+b)^2= a^2 + b^2 + 2ab

so a.a + b.b = 64/49 - 2k/7

given is , a-b =2

so (a-b)^2 = a.a -2ab +b.b

so 4 = 64/49-2k/7 -2k/7

so 4k/7 = 64/49- 4

so k = -(132*7/ 49*4)

so k = -33/7

Answer 2

Answer:

this may help u........