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sin2пиx/4x-1=1/4x-1 equation

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Numerical solution:

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The solution

You have entered [src] 
sin(2*pi*x)         x    
-----------*x - 1 = - - 1
     4              4
$$x \frac{\sin{\left(2 \pi x \right)}}{4} - 1 = \frac{x}{4} - 1$$
Simplify
The graph
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = 0
$$x_{1} = 0$$ 
x2 = 1/4
$$x_{2} = \frac{1}{4}$$ 
x2 = 1/4
Sum and product of roots [src] 
sum
1/4
$$\frac{1}{4}$$ 
=
1/4
$$\frac{1}{4}$$ 
product
0
-
4
$$\frac{0}{4}$$ 
=
0
$$0$$ 
0
Numerical answer [src] 
x1 = 82.25
x2 = 8.25
x3 = 66.25
x4 = 28.25
x5 = 54.25
x6 = 94.25
x7 = 6.25
x8 = -1.75
x9 = -47.75
x10 = 2.25
x11 = -87.75
x12 = -79.75
x13 = 34.25
x14 = -15.75
x15 = 92.25
x16 = 24.25
x17 = 84.25
x18 = 22.25
x19 = 72.25
x20 = 0.0
x21 = 78.25
x22 = -53.75
x23 = -3.75
x24 = 58.25
x25 = 70.25
x26 = 60.25
x27 = 38.25
x28 = 88.25
x29 = -75.75
x30 = -69.75
x31 = -19.75
x32 = -51.75
x33 = -57.75
x34 = -9.75
x35 = 4.25
x36 = -35.75
x37 = 44.25
x38 = 90.25
x39 = 10.25
x40 = 96.25
x41 = 46.25
x42 = -23.75
x43 = -7.75
x44 = -95.75
x45 = -73.75
x46 = 52.25
x47 = -71.75
x48 = -37.75
x49 = -25.75
x50 = -11.75
x51 = 18.25
x52 = -5.75
x53 = 20.25
x54 = -41.75
x55 = -31.75
x56 = -17.75
x57 = -89.75
x58 = 74.25
x59 = 40.25
x60 = -43.75
x61 = 80.25
x62 = -81.75
x63 = 12.25
x64 = -97.75
x65 = -27.75
x66 = -61.75
x67 = 86.25
x68 = -85.75
x69 = -65.75
x70 = 48.25
x71 = -49.75
x72 = -99.75
x73 = -67.75
x74 = -55.75
x75 = 26.25
x76 = 30.25
x77 = 100.25
x78 = -77.75
x79 = -93.75
x80 = -59.75
x81 = 98.25
x82 = 16.25
x83 = -13.75
x84 = 56.25
x85 = -39.75
x86 = 50.25
x87 = 64.25
x88 = -83.75
x89 = -33.75
x90 = 62.25
x91 = 68.25
x92 = -29.75
x93 = 42.25
x94 = -91.75
x95 = -45.75
x96 = -21.75
x97 = 32.25
x98 = -63.75
x99 = 36.25
x100 = 14.25
x101 = 76.25
x101 = 76.25
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