the roots of the equation x²-kx+28=0 are alpha (a) and alpha (a) + 3.find the values of k. Question the roots of the equation x²-kx+28=0 are alpha (a) and alpha (a) + 3.find the values of k. in progress 0 Math Amara 3 months 2021-10-21T00:00:35+00:00 2021-10-21T00:00:35+00:00 1 Answer 0 views 0

## Answers ( )

## The possible values of k are -11 and 11

Solution:Given that equation is:Roots are:

To find: value of x

The general quadratic equation is:From given,

a = 1

b = -k

c = 28

Therefore,

Given roots are:Therefore,

The two roots are two numbers whose difference is 3 and whose product is 28

Those two roots are 4 and 7 or -4 and -7Then, sum of roots are:4 + 7 = 11

-4 – 7 = -11

Therefore, the possible values of k are -11 and 11