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sqrt((x-1)/(x+1))*((x-1)/(x+1)-1)*(2/(x+1)+((x-1)/(x+1)-1)/(x-1)+2/(x-1))/(4*(x-1))=0 equation

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Numerical solution:

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The solution

You have entered [src]
                        /        x - 1            \    
    _______             |        ----- - 1        |    
   / x - 1  /x - 1    \ |  2     x + 1         2  |    
  /  ----- *|----- - 1|*|----- + --------- + -----|    
\/   x + 1  \x + 1    / \x + 1     x - 1     x - 1/    
--------------------------------------------------- = 0
                     4*(x - 1)                         
$$\frac{\sqrt{\frac{x - 1}{x + 1}} \left(\frac{x - 1}{x + 1} - 1\right) \left(\left(\frac{2}{x + 1} + \frac{\frac{x - 1}{x + 1} - 1}{x - 1}\right) + \frac{2}{x - 1}\right)}{4 \left(x - 1\right)} = 0$$
The graph
Sum and product of roots [src]
sum
1/2
$$\frac{1}{2}$$
=
1/2
$$\frac{1}{2}$$
product
1/2
$$\frac{1}{2}$$
=
1/2
$$\frac{1}{2}$$
1/2
Rapid solution [src]
x1 = 1/2
$$x_{1} = \frac{1}{2}$$
x1 = 1/2
Numerical answer [src]
x1 = -31928.830693793
x2 = -19212.7503918579
x3 = 31635.1513696171
x4 = 23157.9084817137
x5 = 42654.8469857089
x6 = -30233.4500192227
x7 = -20060.5670204207
x8 = 12983.0819942901
x9 = -18364.9145854652
x10 = 12134.89998034
x11 = 13831.1910724369
x12 = 32482.8407644725
x13 = 35873.5576426517
x14 = 22310.133097394
x15 = -17517.0568808202
x16 = 35025.8839304101
x17 = 15527.239474547
x18 = -25147.170922245
x19 = 36721.2281118208
x20 = -24299.4315777395
x21 = -22603.9230309016
x22 = 19766.7170438377
x23 = -33624.194212838
x24 = -40405.5194885426
x25 = -35319.5430184014
x26 = 21462.3439358311
x27 = 29939.7579166145
x28 = 18918.8748665393
x29 = 39264.2221830678
x30 = -14973.3161787592
x31 = -23451.6826341866
x32 = 20614.5392636224
x33 = 30787.4572233553
x34 = -15821.2620535457
x35 = 37568.8955598152
x36 = 17223.1185706549
x37 = 26548.8990466674
x38 = -37862.5429160925
x39 = -38710.2041406407
x40 = 16375.1968164595
x41 = -39557.8629479221
x42 = 0.5
x43 = 27396.6241720337
x44 = 18071.0098592987
x45 = 38416.5601887403
x46 = 25701.1658202732
x47 = -27690.3400484674
x48 = 24853.4236503035
x49 = -12429.2079281013
x50 = -34471.8703207225
x51 = -16669.1740174019
x52 = 33330.5257748705
x53 = 28244.341936308
x54 = -37014.8791100265
x55 = -32776.5144334328
x56 = 41807.193976581
x57 = 34178.2067309222
x58 = -31081.1426741184
x59 = -25994.9015921791
x60 = 24005.6715731732
x61 = -14125.3304603559
x62 = 40111.8817115177
x63 = 29092.0529919744
x64 = 14679.2402062512
x65 = -20908.3667588667
x66 = -29385.7523334997
x67 = -41253.1739008517
x68 = -21756.151544946
x69 = -36167.2125429658
x70 = -42100.8263121639
x71 = 40959.5389287044
x72 = -13277.297495924
x73 = -26842.6243969939
x74 = -28538.0491750051
x74 = -28538.0491750051