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

[imdapolak]

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

 

[jimmyv12]

for part 'b', you would want to use the quadratic formula.

 

[danago]

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