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e^(2x)cos(x) equation

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You have entered [src]

 2*x           
E   *cos(x) = 0

$$e^{2 x} \cos{\left(x \right)} = 0$$

Simplify

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

     -pi 
x1 = ----
      2

$$x_{1} = - \frac{\pi}{2}$$

     pi
x2 = --
     2

$$x_{2} = \frac{\pi}{2}$$

x2 = pi/2

Sum and product of roots [src]

sum

  pi   pi
- -- + --
  2    2

$$- \frac{\pi}{2} + \frac{\pi}{2}$$

$$0$$

product

-pi  pi
----*--
 2   2

$$- \frac{\pi}{2} \frac{\pi}{2}$$

   2 
-pi  
-----
  4

$$- \frac{\pi^{2}}{4}$$

-pi^2/4

Numerical answer [src]

x1 = 7.85398163397448

x2 = -73.8274273593601

x3 = -54.9778714378214

x4 = -26.7035375555132

x5 = -1.5707963267949

x6 = -95.8185759344887

x7 = -39.2699081698724

x8 = -4.71238898038469

x9 = 14.1371669411541

x10 = 10.9955742875643

x11 = -36.1283155162826

x12 = -92.6769832808989

x13 = -86.3937979737193

x14 = -10.9955742875643

x15 = -32.9867228626928

x16 = -7.85398163397448

x17 = -58.1194640914112

x18 = -67.5442420521806

x19 = -61.261056745001

x20 = -48.6946861306418

x21 = -42.4115008234622

x22 = -89.5353906273091

x23 = -98.9601685880785

x24 = -14.1371669411541

x25 = -64.4026493985908

x26 = 1.5707963267949

x27 = -17.2787595947439

x28 = 4.71238898038469

x29 = -45.553093477052

x30 = 17.2787595947439

x31 = -83.2522053201295

x32 = -20.4203522483337

x33 = -80.1106126665397

x34 = -23.5619449019235

x35 = -102.101761241668

x36 = -51.8362787842316

x37 = -70.6858347057703

x38 = -29.845130209103

x39 = -76.9690200129499

x39 = -76.9690200129499

e^(2*x)*cos(x) equation