arcsin(x)*y=2^(x+y)-5 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
// / / (-5 + x*asin(x))*log(2) \ \\ / / (-5 + x*asin(x))*log(2) \ \ \ / / / (-5 + x*asin(x))*log(2) \ \\ / / (-5 + x*asin(x))*log(2) \ \
|| | | ----------------------- | || | | ----------------------- | | | | | | ----------------------- | || | | ----------------------- | |
|| | | asin(x) | || | | asin(x) | | | | | | asin(x) | || | | asin(x) | |
|| | |-e *log(2) | || | |-e *log(2) | | | | | |-e *log(2) | || | |-e *log(2) | |
||log(32) + re|W|---------------------------------|*asin(x)||*im(asin(x)) im|W|---------------------------------|*asin(x)|*re(asin(x))| |log(32) + re|W|---------------------------------|*asin(x)||*re(asin(x)) im|W|---------------------------------|*asin(x)|*im(asin(x))
|\ \ \ asin(x) / // \ \ asin(x) / / | \ \ \ asin(x) / // \ \ asin(x) / /
y1 = I*|------------------------------------------------------------------------ - ------------------------------------------------------------| - ------------------------------------------------------------------------ - ------------------------------------------------------------
| / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \
\ \im (asin(x)) + re (asin(x))/*log(2) \im (asin(x)) + re (asin(x))/*log(2) / \im (asin(x)) + re (asin(x))/*log(2) \im (asin(x)) + re (asin(x))/*log(2)
y1=i((re(asin(x)))2+(im(asin(x)))2)log(2)(re(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))+log(32))im(asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)re(asin(x))im(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)(re(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))+log(32))re(asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)im(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))im(asin(x))
y1 = i*((re(LambertW(-exp((x*asin(x) - 5)*log(2)/asin(x))*log(2)/asin(x))*asin(x)) + log(32))*im(asin(x))/((re(asin(x))^2 + im(asin(x))^2)*log(2)) - re(asin(x))*im(LambertW(-exp((x*asin(x) - 5)*log(2)/asin(x))*log(2)/asin(x))*asin(x))/((re(asin(x))^2 + im(asin(x))^2)*log(2))) - (re(LambertW(-exp((x*asin(x) - 5)*log(2)/asin(x))*log(2)/asin(x))*asin(x)) + log(32))*re(asin(x))/((re(asin(x))^2 + im(asin(x))^2)*log(2)) - im(LambertW(-exp((x*asin(x) - 5)*log(2)/asin(x))*log(2)/asin(x))*asin(x))*im(asin(x))/((re(asin(x))^2 + im(asin(x))^2)*log(2))
Suma y producto de raíces
[src]
// / / (-5 + x*asin(x))*log(2) \ \\ / / (-5 + x*asin(x))*log(2) \ \ \ / / / (-5 + x*asin(x))*log(2) \ \\ / / (-5 + x*asin(x))*log(2) \ \
|| | | ----------------------- | || | | ----------------------- | | | | | | ----------------------- | || | | ----------------------- | |
|| | | asin(x) | || | | asin(x) | | | | | | asin(x) | || | | asin(x) | |
|| | |-e *log(2) | || | |-e *log(2) | | | | | |-e *log(2) | || | |-e *log(2) | |
||log(32) + re|W|---------------------------------|*asin(x)||*im(asin(x)) im|W|---------------------------------|*asin(x)|*re(asin(x))| |log(32) + re|W|---------------------------------|*asin(x)||*re(asin(x)) im|W|---------------------------------|*asin(x)|*im(asin(x))
|\ \ \ asin(x) / // \ \ asin(x) / / | \ \ \ asin(x) / // \ \ asin(x) / /
I*|------------------------------------------------------------------------ - ------------------------------------------------------------| - ------------------------------------------------------------------------ - ------------------------------------------------------------
| / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \
\ \im (asin(x)) + re (asin(x))/*log(2) \im (asin(x)) + re (asin(x))/*log(2) / \im (asin(x)) + re (asin(x))/*log(2) \im (asin(x)) + re (asin(x))/*log(2)
i((re(asin(x)))2+(im(asin(x)))2)log(2)(re(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))+log(32))im(asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)re(asin(x))im(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)(re(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))+log(32))re(asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)im(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))im(asin(x))
// / / (-5 + x*asin(x))*log(2) \ \\ / / (-5 + x*asin(x))*log(2) \ \ \ / / / (-5 + x*asin(x))*log(2) \ \\ / / (-5 + x*asin(x))*log(2) \ \
|| | | ----------------------- | || | | ----------------------- | | | | | | ----------------------- | || | | ----------------------- | |
|| | | asin(x) | || | | asin(x) | | | | | | asin(x) | || | | asin(x) | |
|| | |-e *log(2) | || | |-e *log(2) | | | | | |-e *log(2) | || | |-e *log(2) | |
||log(32) + re|W|---------------------------------|*asin(x)||*im(asin(x)) im|W|---------------------------------|*asin(x)|*re(asin(x))| |log(32) + re|W|---------------------------------|*asin(x)||*re(asin(x)) im|W|---------------------------------|*asin(x)|*im(asin(x))
|\ \ \ asin(x) / // \ \ asin(x) / / | \ \ \ asin(x) / // \ \ asin(x) / /
I*|------------------------------------------------------------------------ - ------------------------------------------------------------| - ------------------------------------------------------------------------ - ------------------------------------------------------------
| / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \
\ \im (asin(x)) + re (asin(x))/*log(2) \im (asin(x)) + re (asin(x))/*log(2) / \im (asin(x)) + re (asin(x))/*log(2) \im (asin(x)) + re (asin(x))/*log(2)
i((re(asin(x)))2+(im(asin(x)))2)log(2)(re(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))+log(32))im(asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)re(asin(x))im(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)(re(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))+log(32))re(asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)im(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))im(asin(x))
// / / (-5 + x*asin(x))*log(2) \ \\ / / (-5 + x*asin(x))*log(2) \ \ \ / / / (-5 + x*asin(x))*log(2) \ \\ / / (-5 + x*asin(x))*log(2) \ \
|| | | ----------------------- | || | | ----------------------- | | | | | | ----------------------- | || | | ----------------------- | |
|| | | asin(x) | || | | asin(x) | | | | | | asin(x) | || | | asin(x) | |
|| | |-e *log(2) | || | |-e *log(2) | | | | | |-e *log(2) | || | |-e *log(2) | |
||log(32) + re|W|---------------------------------|*asin(x)||*im(asin(x)) im|W|---------------------------------|*asin(x)|*re(asin(x))| |log(32) + re|W|---------------------------------|*asin(x)||*re(asin(x)) im|W|---------------------------------|*asin(x)|*im(asin(x))
|\ \ \ asin(x) / // \ \ asin(x) / / | \ \ \ asin(x) / // \ \ asin(x) / /
I*|------------------------------------------------------------------------ - ------------------------------------------------------------| - ------------------------------------------------------------------------ - ------------------------------------------------------------
| / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \
\ \im (asin(x)) + re (asin(x))/*log(2) \im (asin(x)) + re (asin(x))/*log(2) / \im (asin(x)) + re (asin(x))/*log(2) \im (asin(x)) + re (asin(x))/*log(2)
i((re(asin(x)))2+(im(asin(x)))2)log(2)(re(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))+log(32))im(asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)re(asin(x))im(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)(re(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))+log(32))re(asin(x))−((re(asin(x)))2+(im(asin(x)))2)log(2)im(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))im(asin(x))
// / / (-5 + x*asin(x))*log(2) \ \\ / / (-5 + x*asin(x))*log(2) \ \ \ / / / (-5 + x*asin(x))*log(2) \ \\ / / (-5 + x*asin(x))*log(2) \ \
|| | | ----------------------- | || | | ----------------------- | | | | | | ----------------------- | || | | ----------------------- | |
|| | | asin(x) | || | | asin(x) | | | | | | asin(x) | || | | asin(x) | |
|| | |-e *log(2) | || | |-e *log(2) | | | | | |-e *log(2) | || | |-e *log(2) | |
I*||log(32) + re|W|---------------------------------|*asin(x)||*im(asin(x)) - im|W|---------------------------------|*asin(x)|*re(asin(x))| - |log(32) + re|W|---------------------------------|*asin(x)||*re(asin(x)) - im|W|---------------------------------|*asin(x)|*im(asin(x))
\\ \ \ asin(x) / // \ \ asin(x) / / / \ \ \ asin(x) / // \ \ asin(x) / /
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2 2 \
\im (asin(x)) + re (asin(x))/*log(2)
((re(asin(x)))2+(im(asin(x)))2)log(2)i((re(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))+log(32))im(asin(x))−re(asin(x))im(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x)))−(re(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))+log(32))re(asin(x))−im(W(−asin(x)easin(x)(xasin(x)−5)log(2)log(2))asin(x))im(asin(x))
(i*((log(32) + re(LambertW(-exp((-5 + x*asin(x))*log(2)/asin(x))*log(2)/asin(x))*asin(x)))*im(asin(x)) - im(LambertW(-exp((-5 + x*asin(x))*log(2)/asin(x))*log(2)/asin(x))*asin(x))*re(asin(x))) - (log(32) + re(LambertW(-exp((-5 + x*asin(x))*log(2)/asin(x))*log(2)/asin(x))*asin(x)))*re(asin(x)) - im(LambertW(-exp((-5 + x*asin(x))*log(2)/asin(x))*log(2)/asin(x))*asin(x))*im(asin(x)))/((im(asin(x))^2 + re(asin(x))^2)*log(2))