Answer:
Those two pair of equations have the same solution set.
Step-by-step explanation:
There are two equations
(x-1)(x+3)=17+x ..... (1) and
(x-1)(x+3)+500=517+x ...... (2)
We have to check the same solution set will be there for equations (1) and (2) or not.
Now, we are going to rearrange the equation (2).
(x-1)(x+3)+500=517+x
⇒ (x-1)(x+3)=517-500+x
⇒(x-1)(x+3)=17+x
This is the same equation as equation (1).
Therefore, there will be the same solution set for equations (1) and (2). (Answer)
There are two equations
(x-1)(x+3)=17+x ..... (3) and
3(x-1)(x+3)+500=51+3x ...... (4)
We have to check the same solution set will be there for equations (3) and (4) or not.
Now, we are going to rearrange the equation (4).
3(x-1)(x+3)+500=51+3x
⇒ 3(x-1)(x+3)=3(17+x)
⇒(x-1)(x+3)=17+x
This is the same equation as equation (3).
Therefore, there will be the same solution set for equations (3) and (4). (Answer)
, which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.