SOLUTION: If one solution to the equation x^2 – 3x + k = 0 is 4, then what is the other solution? a) -4 b) -1 c) 1 d) 4 e) cannot be determined from the information given

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Question 310917: If one solution to the equation x^2 – 3x + k = 0 is 4, then what is the other solution?
a) -4 b) -1 c) 1
d) 4 e) cannot be determined from the information given

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
If one solution to the equation x^2 – 3x + k = 0 is 4, then what is the other solution?
a) -4 b) -1 c) 1
d) 4 e) cannot be determined from the information given 

 x2 – 3x + k = 0

Since 4 is a solution, it must satisfy that equation when
4 is substituted for x.  Substituting 4 for x in

 x2 – 3x + k = 0

gives

(4)2 – 3(4) + k = 0

  16 - 3(4) + k = 0

    16 - 12 + k = 0
  
          4 + k = 0

              k = -4

Substituting -4 for k in

   x2 – 3x + k = 0

gives

    x2 – 3x + (-4) = 0

       x2 – 3x - 4 = 0

    (x - 4)(x + 1) = 0

    x - 4 = 0,   x + 1 = 0
        x = 4,       x = -1

So the other solution is -1, choice b)

Edwin
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