Question

If difference of roots of equation (x^2)-7x+2k=0, is 1 then find k

Answer 1

let roots be alpha and beta .
and then take out the values of roots you are given the difference find out the sum using formula and then put the value of root in the equation and find k

Answer 2

x^-7x+2k=0. (given)

Let alpha and beta

are zeros of the

given polynomial

Then. (♤= Alpha,)

(♧= beta)

♤+♧= -b/a

= -(-7)/1

♤+♧=7------(i)

and

♤-♧= 1------(ii) (given)

Now adding equation

i and ii

2♤=8

♤=4

and

♧= 7-♤

=7-4

=3

Now

Products of root = c/a

♤♧= 2k/1

3×4 = 2k

k = 12/2

k= 6