What is the Relationship Between K and X in a Quadratic Equation?

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In the quadratic equation 4x^2 + kx + 1 = 0, the value of k can only be determined as a function of x due to the presence of two unknowns. Participants agree that unless additional information is provided, such as a specific value for x, k must be expressed in terms of x. The discussion highlights the equivalence of solving for k in terms of x and solving for x in terms of k. Clarification is sought to ensure no other information is overlooked that could aid in finding k. The conversation emphasizes the simplicity of the problem-solving approach.
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In the equation 4x^2+kx+1=0 I'm supposed to find the value of k. But since there are two unknowns, it is only possible to find k expressed as a function of x right...?
 
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Correct. Solve for k in terms of x, unless they said something like when x= 1 etc...
 
Indeed. Make sure they haven't given you any other information that might help.
 
State the text of the problem in the original form.I can't believe it can be that simple...


Daniel.
 
Well that's a quadratic set-up there; it seems to me that you would solve for x in terms of k, but that's really the same thing isn't it?
 

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