Question

I don't know where i am going wrong

Answer 1

For what values of k the expression kx^2 + (k+1)x +2 will be a perfect square of a linear polynomial?

Answer 2

I would type what i did

Answer 3

I simply just completed the square and then took the stuff that was leftover and set it equal to zero.

Answer 4

Uhh I think that works. Does that make sense? I'm sorta out of it.

Answer 5

Let the linear polynomial be ax+b
So,
kx^2 + (k+1)x +2 = (ax+b)^2
kx^2 + (k+1)x +2 = a^2 x^2 + 2ab x + b^2

Comparing the terms

k = a^2

(k+1) = 2ab

b^2 =2

Answer 6

Well , @Kainui i think so I will just check that out

Answer 7

Do u mean adding
[(k+1)/2]^2 to both sides

Answer 8

We can write
k -2ab -1 =0
b is sqrt 2