Thread: what does resticted value mean?

1. what does resticted value mean?

State the restricted values of x for 6x-5
2x(x+4)

I really am lost on this....

thanks

2. Originally Posted by lostone

State the restricted values of x for 6x-5
2x(x+4)

I really am lost on this....

thanks
It is when the denominator is zero:

$2x(x+4)=0$

Make each factors zero and solve:
$2x=0 \mbox{ and }x+4=0$

3. ??????

So that means the answer is zero?

Originally Posted by ThePerfectHacker
It is when the denominator is zero:

$2x(x+4)=0$

Make each factors zero and solve:
$2x=0 \mbox{ and }x+4=0$

4. Originally Posted by lostone
So that means the answer is zero?
No!

We need to do both factors.

1) $2x=0 \Rightarrow x=0$
2) $x+4=0 \Rightarrow x=-4$.

Thus,
$x=0,-4$ are the two restricted values.

5. Why would the question be writen with only term "x" if it is used to make 2 different numbers = 0? Like y would it not b writen 6x-5
2x(y+4)

X= 0
y= -4 instead of "x" = 2 different numbers.

6. Originally Posted by lostone
Why would the question be writen with only term "x" if it is used to make 2 different numbers = 0? Like y would it not b writen 6x-5
2x(y+4)

X= 0
y= -4 instead of "x" = 2 different numbers.
There are two possible values for $x$.

For example,
Solve: $x^2-1=0$.

If you factor,
$(x+1)(x-1)=0$
Making factors equal to zero we find that,
$x=-1$ or $x=1$.

Those are the two possible values for x which solve this.

Same here, it does not mean that there has to be only one value for x there can be two (or more).

7. so there is no rule that x has to equal 1 number....why would they write it that way? Just to make it more difficult?

Originally Posted by ThePerfectHacker
No!

We need to do both factors.

1) $2x=0 \Rightarrow x=0$
2) $x+4=0 \Rightarrow x=-4$.

Thus,
$x=0,-4$ are the two restricted values.
Originally Posted by ThePerfectHacker
There are two possible values for $x$.

For example,
Solve: $x^2-1=0$.

If you factor,
$(x+1)(x-1)=0$
Making factors equal to zero we find that,
$x=-1$ or $x=1$.

Those are the two possible values for x which solve this.

Same here, it does not mean that there has to be only one value for x there can be two (or more).

8. Originally Posted by lostone
so there is no rule that x has to equal 1 number....why would they write it that way?
No there is not rule. Just write
$x = 0$ or $x=-4$.
That is it.
Just to make it more difficult?
Stop complaining.

9. I really appreciate the help!!! and I'm not complaining just having a hard time that's all.....Thank-you again!!!

Originally Posted by ThePerfectHacker
No there is not rule. Just write
$x = 0$ or $x=-4$.
That is it.

Stop complaining.