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Mathematics 13 Online
OpenStudy (anonymous):

x^2/5-x^1/5-2=0

OpenStudy (anonymous):

i think this is my last one

OpenStudy (anonymous):

any help please

OpenStudy (anonymous):

im tired only 3 hours of sleep this morning

hero (hero):

Hint: \[(x^{1/5})^2 - x^{1/5} - 2 = 0\]

OpenStudy (anonymous):

i hate fractions. But ill try x^1/10-x^1/5-2=0

hero (hero):

No, that's not the next step. Think quadratically

OpenStudy (anonymous):

add 2 to the other side!

OpenStudy (anonymous):

or mx+b

hero (hero):

no

OpenStudy (anonymous):

hold on i think i got it!

OpenStudy (anonymous):

u^2-x^5-2=0

OpenStudy (anonymous):

(x+2)(x-1)

OpenStudy (anonymous):

oh the (x-2)(x+1) then set them to 0 so x=2 x=-1

OpenStudy (anonymous):

right? (2,-1)

OpenStudy (klimenkov):

Yes. But now make the inverse substitution to get the solution!

OpenStudy (anonymous):

I did. Didn't I?

OpenStudy (klimenkov):

What is the solution of your origin equation? Type it right here!

OpenStudy (anonymous):

2,-1?

OpenStudy (anonymous):

I need to go for a few mintutes

OpenStudy (anonymous):

but its all there

OpenStudy (klimenkov):

If it is so, what will be \(\sqrt[5]{-1}\) ?

OpenStudy (anonymous):

-5

OpenStudy (anonymous):

Im lost!

hero (hero):

u = x^(1/5) u^2 - u - 2 = 0 (u-2)(u + 1) =0 u - 2 = 0 u + 1 = 0 x^(1/5) - 2 = 0 x^(1/5) + 1 = 0 x^(1/5) = 2 x^(1/5)^5 = 2^5 x = 2^5 x = 32 x^(1/5)^5 = -1^5 x = -1

OpenStudy (anonymous):

oh thank you

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