SOLUTION: Find the number k such that the given equation has exactly one real solution: kx^2+28x+4=0

Question 590370: Find the number k such that the given equation has exactly one real solution:
kx^2+28x+4=0

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
For to have exactly one real solution. the factors of this equation have to be equal.
For example so that and to get:
and the solution(s) is(are)
So
But you could do it this way:
Complete the square. First, divide by k.
= Simplify.
To complete the square, the constant term must equal the square of half the x-coefficient, so =
Set this equal to the constant term and solve for k.
Simplify.

So the equation is:

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