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Homework Statement
Lets say you have Ax + Bx^2 + C = 0
Usually I would use the Quadratic formula in this situation.
But what if you do this
x( A + Bx ) + C = 0
x( A + Bx ) = -C
Couldn't you then say
x = -C
and
A + Bx = -C
x = (-C - A) / B
?
Well you could say that, but it won't be correct. If you sub x=-C you will getHomework Statement
Lets say you have Ax + Bx^2 + C = 0
Usually I would use the Quadratic formula in this situation.
But what if you do this
x( A + Bx ) + C = 0
x( A + Bx ) = -C
Couldn't you then say
x = -C
and
A + Bx = -C
x = (-C - A) / B
?
No. Why do you think that? All that is telling you is that x and (A+Bx) are always -C when multiplied together if x is a solution to the quadratic formula. That doesn't tell you anything about what x actually is. Remember, the quadratic formula has 2 solutions so you have to get 2 numbers out of it for x.Couldn't you then say
x = -C
and
A + Bx = -C
I believe that would be correct. If you hadSo then my equation would work only if C = 0.