SOLUTION: Suppose we know that equation kx^2 + 4kx + 4 = 0 has exactly one solution, then what’s the solution?

Question 1150729: Suppose we know that equation kx^2 + 4kx + 4 = 0 has exactly one solution, then what’s the solution?
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.



The discriminant  d = b^2 - 4ac must be zero:


    (-4k)^2 - 4*4k = 0


    16k^2 = 16k


      k = 1


      k = 0   ---  degenerated case.     


      If  k = 1, then  the equation is   x^2 + 4x + 4 = 0,   = 0  ====>  The solution is   x= -2.

Solved.

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