Suppose a real-world situation is modeled by a quadratic equation in the form of where t represents time. What must be true about the equation if the problem situation only has one solution?

Question

Suppose a real-world situation is modeled by a quadratic equation in the form of  where t represents time.  What must be true about the equation if the problem situation only has one solution?

anonymous · Answer

at to the power of 2 =bt+ c=0

anonymous · Answer

The comment i made is the form that the question is referring to.

anonymous · Answer

@Lily2913  can you help me or know anyone who can?

anonymous · Answer

the form of a quadratic is $$at ^{2}+bt+c$$

anonymous · Answer

quadratic equation $$-b \pm \frac{ \sqrt{b ^{2}-4ac} }{ 2a }$$  the solution restriction is $$b ^{2}-4ac \ge 0$$ 

since we only want one

we can say $$b ^{2}-a(c-d)  = 0$$

so we can say that our solution is $$t = \frac{ -b }{ 2a }$$  where $$t \ge 0$$

anonymous · Answer

thank you