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10*sin(x)-14*cos(x)=sqrt(296) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                          _____
10*sin(x) - 14*cos(x) = \/ 296 
$$10 \sin{\left(x \right)} - 14 \cos{\left(x \right)} = \sqrt{296}$$
Gráfica
Respuesta rápida [src]
           /      ____\
           |7   \/ 74 |
x1 = 2*atan|- + ------|
           \5     5   /
$$x_{1} = 2 \operatorname{atan}{\left(\frac{7}{5} + \frac{\sqrt{74}}{5} \right)}$$
x1 = 2*atan(7/5 + sqrt(74)/5)
Suma y producto de raíces [src]
suma
      /      ____\
      |7   \/ 74 |
2*atan|- + ------|
      \5     5   /
$$2 \operatorname{atan}{\left(\frac{7}{5} + \frac{\sqrt{74}}{5} \right)}$$
=
      /      ____\
      |7   \/ 74 |
2*atan|- + ------|
      \5     5   /
$$2 \operatorname{atan}{\left(\frac{7}{5} + \frac{\sqrt{74}}{5} \right)}$$
producto
      /      ____\
      |7   \/ 74 |
2*atan|- + ------|
      \5     5   /
$$2 \operatorname{atan}{\left(\frac{7}{5} + \frac{\sqrt{74}}{5} \right)}$$
=
      /      ____\
      |7   \/ 74 |
2*atan|- + ------|
      \5     5   /
$$2 \operatorname{atan}{\left(\frac{7}{5} + \frac{\sqrt{74}}{5} \right)}$$
2*atan(7/5 + sqrt(74)/5)
Respuesta numérica [src]
x1 = 84.2027517800972
x2 = -22.6113977403872
x3 = 90.4859373347394
x4 = -3.76184213049631
x5 = -98.0096214159142
x6 = 27.6540846053208
x7 = 2.52134301712971
x8 = 33.9372699744358
x9 = -85.4432507809765
x10 = -91.7264364566984
x11 = -85.4432513001177
x12 = -41.4609537074582
x13 = -54.0273242841368
x14 = 65.3531965735905
x15 = 77.9195669228714
x16 = -66.5936948975054
x17 = 8.80452819898529
x18 = 84.2027522019462
x19 = 90.4859375522159
x20 = -16.3282125530892
x21 = 52.7868253565259
x22 = 46.5036404597088
x23 = 40.2204550346171
x24 = -47.7441392941219
x25 = -35.1777689584802
x26 = -98.0096217363603
x27 = -79.1600661158697
x28 = -10.0450271539678
x29 = -41.4609541415368
x30 = -60.3105102732896
x31 = 59.0700105568783
x32 = 40.2204546439227
x33 = 2.52134337296146
x34 = 109.335493489621
x35 = -10.0450274034305
x36 = -91.7264367568189
x37 = 21.3708994166451
x38 = 15.0877134006947
x39 = 33.9372697602749
x40 = -47.7441396246509
x41 = -60.3105097116012
x42 = 71.6363817636337
x43 = 46.5036401758865
x44 = -3.76184249102972
x45 = 77.9195671008983
x46 = -54.0273245687136
x47 = 96.7691225141407
x47 = 96.7691225141407