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sqrt(x+2*sqrt(x-1))+sqrt(x-2*sqrt(x-1))=2

sqrt(x+2*sqrt(x-1))+sqrt(x-2*sqrt(x-1))=2 equation

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Numerical solution:

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The solution

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   _________________      _________________    
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\/  x + 2*\/ x - 1   + \/  x - 2*\/ x - 1   = 2
$$\sqrt{x - 2 \sqrt{x - 1}} + \sqrt{x + 2 \sqrt{x - 1}} = 2$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
1
$$1$$
=
1
$$1$$
1
Numerical answer [src]
x1 = -25.61482027751
x2 = -74.6185128784061
x3 = -53.257768876844
x4 = -4.0
x5 = -44.0
x6 = -66.0
x7 = -14.0997512422418
x8 = -34.1070065428546
x9 = -10.0
x10 = -56.0
x11 = -32.3953160743802
x12 = -48.0
x13 = -62.0
x14 = -21.75
x15 = -46.0
x16 = -3.45357097403841
x17 = -27.299069503191
x18 = -32.0
x19 = -100.0
x20 = -65.6722711095491
x21 = -18.0
x22 = -12.0
x23 = -49.7389211072612
x24 = -46.2346354440152
x25 = -26.0
x26 = -56.7899661822905
x27 = -86.0
x28 = -38.0
x29 = -83.75
x30 = -69.2437093962707
x31 = -14.0
x32 = -41.0086558278668
x33 = -22.2715267527484
x34 = -35.8245082278547
x35 = -60.0
x36 = -28.0
x37 = -58.0
x38 = -96.0
x39 = -37.5474832920292
x40 = -6.34637527809343
x41 = -94.0
x42 = -58.5607364003214
x43 = -39.2756254157069
x44 = -81.75
x45 = -8.0
x46 = -2.0
x47 = -9.37821036166854
x48 = -49.75
x49 = -64.0
x50 = 0.0
x51 = -91.75
x52 = -74.0
x53 = -36.0
x54 = -34.0
x55 = -23.9387492235281
x56 = -72.8246613884378
x57 = -12.5070052558852
x58 = -42.0
x59 = -40.0
x60 = -17.3312400380909
x61 = -24.0
x62 = -54.0
x63 = -76.4145202989321
x64 = -30.6898109134377
x65 = -18.9668146883923
x66 = -67.456760430716
x67 = -47.9848750792769
x68 = -72.0
x69 = -80.0
x70 = -44.4883845908495
x71 = -71.0330356646368
x72 = -30.0
x73 = -6.0
x74 = -70.0
x75 = -62.1110255092798
x76 = 0.403880441997911
x77 = -10.9322822506753
x78 = -42.7463199575069
x79 = 1.41232744610167
x80 = -76.0
x81 = -63.8903286403928
x82 = -28.9909070969142
x83 = -15.7084063028758
x84 = -2.08276253029822
x85 = -78.2126173916888
x86 = -68.0
x87 = -0.785569709755661
x88 = -4.87879852830244
x89 = -52.0
x90 = -88.0
x91 = -90.0
x92 = -51.4966046285514
x93 = -55.0222680326857
x94 = 2.0
x95 = -78.0
x96 = -20.6139202062303
x97 = -20.0
x98 = -60.3344599390634
x99 = -7.84812623246701
x100 = -16.0
x100 = -16.0
The graph
sqrt(x+2*sqrt(x-1))+sqrt(x-2*sqrt(x-1))=2 equation