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- La ecuación:
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Ecuación (x-3)*(x+2)=0
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Ecuación (11x+14)-(5x-8)=25
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Ecuación z^2-6*z+10=0
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Ecuación 4/(x-4)=-5
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- 20*x+5*y=-3
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Expresiones idénticas
- uno + seis *sin(x/ cuatro)*cos(x/ cuatro)= cero
- 1 más 6 multiplicar por seno de (x dividir por 4) multiplicar por coseno de (x dividir por 4) es igual a 0
- uno más seis multiplicar por seno de (x dividir por cuatro) multiplicar por coseno de (x dividir por cuatro) es igual a cero
- 1+6sin(x/4)cos(x/4)=0
- 1+6sinx/4cosx/4=0
- 1+6*sin(x/4)*cos(x/4)=O
- 1+6*sin(x dividir por 4)*cos(x dividir por 4)=0
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Expresiones semejantes
- 1-6*sin(x/4)*cos(x/4)=0
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Expresiones con funciones
- Seno sin
- sin(x)=(-1)/sqrt(2)
- sin(x)=-5/2
- sin((pi*x)/4)=1
- sin(2*x)-sin(x)=0
- sin(5*x)-cos(4*x)=0
- Coseno cos
- cos(x)^2=cos(x)
- cos^2(x)=1
- cos(4*x)=0
- cos(pi*x)=-1
- cos(x)=x^2+1
1+6*sin(x/4)*cos(x/4)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/x\ /x\
1 + 6*sin|-|*cos|-| = 0
\4/ \4/
$$6 \sin{\left(\frac{x}{4} \right)} \cos{\left(\frac{x}{4} \right)} + 1 = 0$$
Suma y producto de raíces
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suma
/ _____________\ / _____________\ / _____________\ / _____________\
| ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ |
- 8*atan\-3 + 2*\/ 2 + \/ 6 *\/ 3 - 2*\/ 2 / + 8*atan\3 - 2*\/ 2 + \/ 6 *\/ 3 - 2*\/ 2 / + 8*atan\3 + 2*\/ 2 + \/ 6 *\/ 3 + 2*\/ 2 / + 8*atan\3 + 2*\/ 2 - \/ 6 *\/ 3 + 2*\/ 2 /
$$8 \operatorname{atan}{\left(- \sqrt{6} \sqrt{2 \sqrt{2} + 3} + 2 \sqrt{2} + 3 \right)} + \left(\left(- 8 \operatorname{atan}{\left(-3 + \sqrt{6} \sqrt{3 - 2 \sqrt{2}} + 2 \sqrt{2} \right)} + 8 \operatorname{atan}{\left(- 2 \sqrt{2} + \sqrt{6} \sqrt{3 - 2 \sqrt{2}} + 3 \right)}\right) + 8 \operatorname{atan}{\left(2 \sqrt{2} + 3 + \sqrt{6} \sqrt{2 \sqrt{2} + 3} \right)}\right)$$
=
/ _____________\ / _____________\ / _____________\ / _____________\
| ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ |
- 8*atan\-3 + 2*\/ 2 + \/ 6 *\/ 3 - 2*\/ 2 / + 8*atan\3 - 2*\/ 2 + \/ 6 *\/ 3 - 2*\/ 2 / + 8*atan\3 + 2*\/ 2 + \/ 6 *\/ 3 + 2*\/ 2 / + 8*atan\3 + 2*\/ 2 - \/ 6 *\/ 3 + 2*\/ 2 /
$$- 8 \operatorname{atan}{\left(-3 + \sqrt{6} \sqrt{3 - 2 \sqrt{2}} + 2 \sqrt{2} \right)} + 8 \operatorname{atan}{\left(- \sqrt{6} \sqrt{2 \sqrt{2} + 3} + 2 \sqrt{2} + 3 \right)} + 8 \operatorname{atan}{\left(- 2 \sqrt{2} + \sqrt{6} \sqrt{3 - 2 \sqrt{2}} + 3 \right)} + 8 \operatorname{atan}{\left(2 \sqrt{2} + 3 + \sqrt{6} \sqrt{2 \sqrt{2} + 3} \right)}$$
producto
/ _____________\ / _____________\ / _____________\ / _____________\
| ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ |
-8*atan\-3 + 2*\/ 2 + \/ 6 *\/ 3 - 2*\/ 2 /*8*atan\3 - 2*\/ 2 + \/ 6 *\/ 3 - 2*\/ 2 /*8*atan\3 + 2*\/ 2 + \/ 6 *\/ 3 + 2*\/ 2 /*8*atan\3 + 2*\/ 2 - \/ 6 *\/ 3 + 2*\/ 2 /
$$- 8 \operatorname{atan}{\left(-3 + \sqrt{6} \sqrt{3 - 2 \sqrt{2}} + 2 \sqrt{2} \right)} 8 \operatorname{atan}{\left(- 2 \sqrt{2} + \sqrt{6} \sqrt{3 - 2 \sqrt{2}} + 3 \right)} 8 \operatorname{atan}{\left(2 \sqrt{2} + 3 + \sqrt{6} \sqrt{2 \sqrt{2} + 3} \right)} 8 \operatorname{atan}{\left(- \sqrt{6} \sqrt{2 \sqrt{2} + 3} + 2 \sqrt{2} + 3 \right)}$$
=
/ _____________\ / _____________\ / _____________\ / _____________\
| ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ |
-4096*atan\-3 + 2*\/ 2 + \/ 6 *\/ 3 - 2*\/ 2 /*atan\3 - 2*\/ 2 + \/ 6 *\/ 3 - 2*\/ 2 /*atan\3 + 2*\/ 2 + \/ 6 *\/ 3 + 2*\/ 2 /*atan\3 + 2*\/ 2 - \/ 6 *\/ 3 + 2*\/ 2 /
$$- 4096 \operatorname{atan}{\left(-3 + \sqrt{6} \sqrt{3 - 2 \sqrt{2}} + 2 \sqrt{2} \right)} \operatorname{atan}{\left(- 2 \sqrt{2} + \sqrt{6} \sqrt{3 - 2 \sqrt{2}} + 3 \right)} \operatorname{atan}{\left(2 \sqrt{2} + 3 + \sqrt{6} \sqrt{2 \sqrt{2} + 3} \right)} \operatorname{atan}{\left(- \sqrt{6} \sqrt{2 \sqrt{2} + 3} + 2 \sqrt{2} + 3 \right)}$$
-4096*atan(-3 + 2*sqrt(2) + sqrt(6)*sqrt(3 - 2*sqrt(2)))*atan(3 - 2*sqrt(2) + sqrt(6)*sqrt(3 - 2*sqrt(2)))*atan(3 + 2*sqrt(2) + sqrt(6)*sqrt(3 + 2*sqrt(2)))*atan(3 + 2*sqrt(2) - sqrt(6)*sqrt(3 + 2*sqrt(2)))
Respuesta rápida
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/ _____________\
| ___ ___ / ___ |
x1 = -8*atan\-3 + 2*\/ 2 + \/ 6 *\/ 3 - 2*\/ 2 /
$$x_{1} = - 8 \operatorname{atan}{\left(-3 + \sqrt{6} \sqrt{3 - 2 \sqrt{2}} + 2 \sqrt{2} \right)}$$
/ _____________\
| ___ ___ / ___ |
x2 = 8*atan\3 - 2*\/ 2 + \/ 6 *\/ 3 - 2*\/ 2 /
$$x_{2} = 8 \operatorname{atan}{\left(- 2 \sqrt{2} + \sqrt{6} \sqrt{3 - 2 \sqrt{2}} + 3 \right)}$$
/ _____________\
| ___ ___ / ___ |
x3 = 8*atan\3 + 2*\/ 2 + \/ 6 *\/ 3 + 2*\/ 2 /
$$x_{3} = 8 \operatorname{atan}{\left(2 \sqrt{2} + 3 + \sqrt{6} \sqrt{2 \sqrt{2} + 3} \right)}$$
/ _____________\
| ___ ___ / ___ |
x4 = 8*atan\3 + 2*\/ 2 - \/ 6 *\/ 3 + 2*\/ 2 /
$$x_{4} = 8 \operatorname{atan}{\left(- \sqrt{6} \sqrt{2 \sqrt{2} + 3} + 2 \sqrt{2} + 3 \right)}$$
x4 = 8*atan(-sqrt(6)*sqrt(2*sqrt(2) + 3) + 2*sqrt(2) + 3)
Respuesta numérica
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x1 = 82.3610828122429
x2 = -156.399958860581
x3 = 62.1521792528876
x4 = 69.7947121978837
x5 = -13.2460444332674
x6 = -55.868993945708
x7 = 99.8512910959651
x8 = -68.4353645600672
x9 = 74.7185498672468
x10 = -0.679673818908244
x11 = 37.0194380241693
x12 = -18.1698821026305
x13 = 32.0956003548062
x14 = -50.9451562763449
x15 = -76.0778975050633
x16 = -38.3787856619858
x17 = 11.8866967954509
x18 = -30.7362527169897
x19 = 19.529229740447
x20 = 57.2283415835245
x21 = -43.3026233313489
x22 = 94.927453426602
x23 = 24.4530674098101
x24 = 49.5858086385284
x25 = -25.8124150476266
x26 = 401.444185840585
x27 = 6.96285912608783
x28 = -93.5681057887856
x29 = 87.284920481606
x30 = -88.6442681194224
x31 = 44.6619709691654
x32 = -101.210638733782
x33 = -63.5115268907041
x34 = -5.60351148827134
x35 = -81.0017351744264
x35 = -81.0017351744264