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- La ecuación:
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Ecuación x^3+3x^2-x-3=0
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Ecuación x^3-6x^2+11x-6=0
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Ecuación x/4+x=12
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Ecuación x+4=-1
- Expresar {x} en función de y en la ecuación:
- 9*x-1*y=17
- 10*x-2*y=11
- -18*x-13*y=2
- -12*x-8*y=13
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Expresiones idénticas
- cuatro 9cos^2x+11sinx=4/cosx
- 49 coseno de al cuadrado x más 11 seno de x es igual a 4 dividir por coseno de x
- cuatro 9 coseno de al cuadrado x más 11 seno de x es igual a 4 dividir por coseno de x
- 49cos2x+11sinx=4/cosx
- 49cos²x+11sinx=4/cosx
- 49cos en el grado 2x+11sinx=4/cosx
- 49cos^2x+11sinx=4 dividir por cosx
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Expresiones semejantes
- ((2/cos(x))-1)^2+2*((2*sin(x))/(cos(x))^2)^2-4/(cos(x))^4=0
- 49cos^2x-11sinx=4/cosx
- (sina)^4/(sinx)^2+(cosa)^4/(cosx)^2=1
49cos^2x+11sinx=4/cosx la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 4
49*cos (x) + 11*sin(x) = ------
cos(x)
$$11 \sin{\left(x \right)} + 49 \cos^{2}{\left(x \right)} = \frac{4}{\cos{\left(x \right)}}$$
Suma y producto de raíces
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suma
/ / 6 5 4 2 \\ / / 6 5 4 2 \\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ 2*atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 0// + 2*atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 1// + 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 2/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 2/// + 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 3/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 3/// + 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 4/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 4/// + 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 5/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 5///
$$\left(\left(\left(\left(2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 0\right)} \right)} + 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 1\right)} \right)}\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 2\right)} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 3\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 3\right)} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 4\right)} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 5\right)} \right)}\right)}\right)$$
=
/ / 6 5 4 2 \\ / / 6 5 4 2 \\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ 2*atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 0// + 2*atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 1// + 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 2/// + 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 3/// + 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 4/// + 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 5/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 2/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 3/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 4/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 5///
$$2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 2\right)} \right)}\right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 3\right)} \right)}\right)} + 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 0\right)} \right)} + 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 1\right)} \right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 4\right)} \right)}\right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 3\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 5\right)} \right)}\right)}$$
producto
/ / 6 5 4 2 \\ / / 6 5 4 2 \\ / / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\\ / / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\\ / / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\\ / / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\\ 2*atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 0//*2*atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 1//*\2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 2/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 2////*\2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 3/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 3////*\2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 4/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 4////*\2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 5/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 5////
$$2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 0\right)} \right)} 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 1\right)} \right)} \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 2\right)} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 3\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 3\right)} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 4\right)} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 5\right)} \right)}\right)}\right)$$
=
/ / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\\ / / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\\ / / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\\ / / / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\\ / / 6 5 4 2 \\ / / 6 5 4 2 \\ 64*\I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 2/// + re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 2////*\I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 3/// + re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 3////*\I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 4/// + re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 4////*\I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 5/// + re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 5////*atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 0//*atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 1//
$$64 \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 2\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 2\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 3\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 3\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 4\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 4\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 5\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 5\right)} \right)}\right)}\right) \operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 0\right)} \right)} \operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 1\right)} \right)}$$
64*(i*im(atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 2))) + re(atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 2))))*(i*im(atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 3))) + re(atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 3))))*(i*im(atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 4))) + re(atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 4))))*(i*im(atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 5))) + re(atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 5))))*atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 0))*atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 1))
Respuesta rápida
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/ / 6 5 4 2 \\ x1 = 2*atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 0//
$$x_{1} = 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 0\right)} \right)}$$
/ / 6 5 4 2 \\ x2 = 2*atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 1//
$$x_{2} = 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 1\right)} \right)}$$
/ / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ x3 = 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 2/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 2///
$$x_{3} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 2\right)} \right)}\right)}$$
/ / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ x4 = 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 3/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 3///
$$x_{4} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 3\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 3\right)} \right)}\right)}$$
/ / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ x5 = 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 4/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 4///
$$x_{5} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 4\right)} \right)}\right)}$$
/ / / 6 5 4 2 \\\ / / / 6 5 4 2 \\\ x6 = 2*re\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 5/// + 2*I*im\atan\CRootOf\53*x + 22*x - 135*x + 159*x - 22*x - 45, 5///
$$x_{6} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(53 x^{6} + 22 x^{5} - 135 x^{4} + 159 x^{2} - 22 x - 45, 5\right)} \right)}\right)}$$
Eq(x6, 2*re(atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 5))) + 2*i*im(atan(CRootOf(53*x^6 + 22*x^5 - 135*x^4 + 159*x^2 - 22*x - 45, 5))))
Respuesta numérica
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x1 = -88.9267089121784
x2 = -74.1096222922572
x3 = 11.604256002695
x4 = 61.8697384601317
x5 = -38.6612264547417
x6 = -4.99458391328172
x7 = -55.2600663707184
x8 = -32.3780411475621
x9 = -76.3603382978192
x10 = -0.962114611664186
x11 = 87.00247968885
x12 = -23.8441398348205
x13 = 99.5688503032092
x14 = -92.9591782137959
x15 = 36.7369972314133
x16 = 38.9877132369754
x17 = 26.4213426226162
x18 = -26.0948558403825
x19 = -99.2423635209755
x20 = -70.0771529906396
x21 = -82.6435236049988
x22 = 80.7192943816704
x23 = 7.57178670107746
x24 = 2112.43886460624
x25 = 20.1381573154366
x26 = 76.6868250800529
x27 = -51.2275970691009
x28 = 30.4538119242337
x29 = -48.9768810635388
x30 = -61.543251677898
x31 = -67.8264369850776
x32 = 51.5540838513346
x33 = 64.1204544656937
x34 = 55.5865531529521
x35 = -63.7939676834601
x36 = -11.2777692204613
x37 = 13.854972008257
x38 = -17.5609545276409
x39 = 17.8874413098746
x40 = 24.1706266170542
x41 = -30.1273251420001
x42 = -13.5284852260234
x43 = 70.4036397728733
x44 = 32.7045279297958
x45 = 68.1529237673113
x46 = -57.5107823762805
x47 = 5.3210706955154
x48 = -80.3928075994368
x49 = 82.9700103872325
x50 = -19.8116705332029
x51 = 74.4361090744909
x52 = 93.2856649960296
x52 = 93.2856649960296