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Mathematics 21 Online
OpenStudy (anonymous):

Can someone tell me how to solve this?

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

\[x=3\div2 \pm \sqrt{17\div4}\]

OpenStudy (anonymous):

\[x=\frac{ 3 }{ 2 }\pm \sqrt{\frac{ 17 }{ 4 }}\]

OpenStudy (anonymous):

It started as: Use the second derivative test to classify the local (relative) extrema of \[f(x)=2x ^{3} -9x ^{2}+12x+2\] I got it down to what I posted above, but I dont know how to solve from there to get x=1,2. Then I got to derive f(x) twice and plug in 1 and 2, but all I dont know how to do is get 1 and 2 from the equation in th elast post. TY

OpenStudy (anonymous):

12x-18=0

OpenStudy (anonymous):

x=18/12

OpenStudy (anonymous):

12x-18=0??? What happened to 12x?

OpenStudy (anonymous):

oh wait not 12x 2x^3

OpenStudy (anonymous):

I know how to derive it twice, but not how to solve the thing in my first post.

OpenStudy (anonymous):

the above one x=3/2...... this the value of x you can't do anything.... you could rewrite it. but how you end up with it.....

OpenStudy (anonymous):

Yes that one, x=3/2... IDK how tpo get x=1,2. I'm studying for my exam tomorrow in calculus, and the answer sheet says x=1,2, and they show everystep up to x=3/2...., but not how they got x to = 1 and 2. I was wondering if you could explain that...

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

you just need first D

OpenStudy (anonymous):

6x^2-18x+12=0

OpenStudy (anonymous):

divid by 6 x^2-3x+2

OpenStudy (anonymous):

(x-1)(x-2)=0

OpenStudy (anonymous):

so x=1 or x=2

OpenStudy (anonymous):

wow, that was so much easier then I made it to be...

OpenStudy (anonymous):

Thanks soo much!!!

OpenStudy (anonymous):

you are welcome

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