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Mathematics 14 Online
OpenStudy (superhelp101):

Find the restrictions...

OpenStudy (superhelp101):

I think they are all real numbers. But not sure...:/

OpenStudy (superhelp101):

@ganeshie8

OpenStudy (superhelp101):

@paki

OpenStudy (paki):

what is your question...?

OpenStudy (superhelp101):

To solve, but I already did. Then to list the restrictions, which I think is all real numbers

OpenStudy (paki):

@SolomonZelman please help here...

OpenStudy (paki):

@TheRealRyGuy help here...

OpenStudy (anonymous):

whats the problem

OpenStudy (superhelp101):

to solve for any restrictions here:

OpenStudy (anonymous):

\(\Large\cal\color{red}{ok~let~me~help}\)

OpenStudy (solomonzelman):

the attachment isn't working for me, but a restriction is a value of a variable with which you will have a square root equal to a negative number, or a value of a variable that makes any denominator be equal to 0.

OpenStudy (anonymous):

\(\Large\frak\color{red}{Doesn't~work~for~me~either}\)

OpenStudy (superhelp101):

oh it was the same problem that @SolomonZelman solved before. But I will rewrite it...

OpenStudy (solomonzelman):

I remember it

OpenStudy (anonymous):

\(\Large\cal\color{pink}{good ~luck}\)

OpenStudy (solomonzelman):

\(\huge\color{blue}{ \frac{4t^2-1}{15t+10}\div \frac{4t^2-4t+1}{5t^2+3t+2} }\)

OpenStudy (solomonzelman):

Am I right ?

OpenStudy (superhelp101):

yes ;)

OpenStudy (superhelp101):

wait no....

OpenStudy (solomonzelman):

\(\huge\color{blue}{ \frac{4t^2-1}{15t+10}\div \frac{4t^2-4t+1}{5t^2+3t+2}= }\) \(\huge\color{blue}{ \frac{4t^2-1}{15t+10}\times \frac{5t^2+3t+2}{4t^2-4t+1}= }\) \(\huge\color{blue}{ \frac{(4t^2-1)(5t^2+3t+2)}{(15t+10)(4t^2-4t+1)}. }\)

OpenStudy (superhelp101):

\[(4t^2-1)/(15t+10) \div (4t^2-4t+1)/(3t^2+5t+2)\]

OpenStudy (solomonzelman):

(15t+10)(4t²-4t+1) = 0 to solve for the restrictions.

OpenStudy (superhelp101):

oh okay so it's always going to use the denominator..

OpenStudy (superhelp101):

the denominator of that problem is going to be 5(2t-1)=0. So to find the restrictions we need to set 5=0 and 2t-1=0 to get t=1/2. So 1/2 is our restriction?

OpenStudy (solomonzelman):

\(\large\color{blue}{ (15t+10)(4t^2-4t+1)≠0}\) \(\large\color{blue}{ 5(3t+2)(4t^2-4t+1)≠0}\) \(\large\color{blue}{ 5(3t+2)(2t-1)^2≠0}\) \(\large\color{blue}{ (3t+2)(2t-1)^2≠0}\) ───────────────────────── \(\large\color{blue}{ (3t+2)≠0~~~~~~~~~~\rm{or}~~~~~~~~~~(2t-1)^2≠0}\) \(\large\color{blue}{ t≠-3/2~~~~~~~~~~~~~~~~~~~~~~~~~~~~2t-1≠0}\) \(\large\color{blue}{ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~t≠1/2}\)

OpenStudy (solomonzelman):

Clear ?

OpenStudy (anonymous):

\(\Large\cal\color{green}{Great~Job~Soloman}\)

OpenStudy (solomonzelman):

tnx, real guy.

OpenStudy (superhelp101):

sorry I think we got the right problem here...

OpenStudy (anonymous):

somoen gmme medal pls all i need is one more

OpenStudy (superhelp101):

\[(4t^2−1)/(15t+10)÷(4t^2−4t+1)/(3t^2+5t+2)\]

OpenStudy (anonymous):

YAY

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