Asked by Liz
How is a quadratic inequality different from a quadratic equation?
Answers
Answered by
Steve
one is an inequality, the other is not. :-)
An equation will have 0,1, or 2 roots.
for example,
(x-3)(x+4) = 0
is true when x=3 or x = -4.
(x-3)(x+4) < 0
is the <b>interval</b> from -4 to 3, where y < 0.
Just as the equation, the inequality may have an interval, or a point for a solution, or no solution at all.
x^2 <= 0 has only x=0 for a solution.
x^2 > 0 will have two intervals for a solution: (-oo,0) U (0,oo)
x^2 < 0 has no real solutions at all
An equation will have 0,1, or 2 roots.
for example,
(x-3)(x+4) = 0
is true when x=3 or x = -4.
(x-3)(x+4) < 0
is the <b>interval</b> from -4 to 3, where y < 0.
Just as the equation, the inequality may have an interval, or a point for a solution, or no solution at all.
x^2 <= 0 has only x=0 for a solution.
x^2 > 0 will have two intervals for a solution: (-oo,0) U (0,oo)
x^2 < 0 has no real solutions at all
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.