Question

If α and β are the zeroes of the polynomial x 2 -7x+k such that α-β=1, find the valu of k.

Answer 1

p(x)=x^2-7x+k
sum of zeroes:
a+b=7
it is given that a-b=1
solving the equations.
b=3 and a=4
product of zeroes:
ab=k
k=4*3=12