Question 1672: 2-part question on quadratic equations in intermediate algebra:
A quadratic equaation can have zero, one or two solutions (zeroes) in the study of quadratic formulas and the discriminant.
1. What about an equation of order 3 like: ax^3+bx^2+cx+d=0
2. What is the minimum number of solutions or zeroes? What is the maximum? Can
there be two?
Answer by khwang(438)   (Show Source):
You can put this solution on YOUR website! for a real(a,b,c) equation of order 3.
(since f(x) --> +oo or -oo as x-->oo (or -oo))
1. may have one or three zeros(real solutions.)
may have one real solution and two complex zeros.
2. minimum number of (real) solutions is 1.
max number of (real) solutions is 3.
the number of (real) solutions may be 2. (if a real double root,
e.g. (x-1)^2 (x+3)=0)
Kenny
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