What Are the Solutions to bx^2 + cx + a = 0 for Any Constants a, b, and c?

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The discussion focuses on solving the quadratic equation bx^2 + cx + a = 0 for any constants a, b, and c. Participants clarify that part a requires finding the general solutions for x, while part b involves substituting specific values into the quadratic formula. The quadratic formula is confirmed as the appropriate method for obtaining solutions in part b. The conversation emphasizes that part a is a broader case applicable to any constants. Understanding the general solution is crucial for tackling specific instances of the equation.
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1. Suppose y = bx^2 +cx + a
a.) in terms of a, b, and c, what values of x make y=0?

b.) if a=3.1, b= -2.2 and c=-4.3 evaluate those solutions to 3 significant digits:


Homework Equations





3. I am not really sure how to solve for what the question is asking for in part a, and for part b do I just plug those values into a quadratic formula for an answer? Any help is appreciated
 
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for part 'b', you would want to use the quadratic formula.
 


Part a is really very similar to part b, it is just a much more general case, which applies to any constants a, b and c. It is basically saying that for any given constants, what are the solutions to the equation:

bx^2 +cx + a = 0
 

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