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sin(x^2)=0

sin(x^2)=0 equation

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Numerical solution:

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The solution

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   / 2\    
sin\x / = 0
$$\sin{\left(x^{2} \right)} = 0$$
Detail solution
Given the equation
$$\sin{\left(x^{2} \right)} = 0$$
transform
$$\sin{\left(x^{2} \right)} - 1 = 0$$
$$\sin{\left(x^{2} \right)} - 1 = 0$$
Do replacement
$$w = \sin{\left(x^{2} \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = 1$$
We get the answer: w = 1
do backward replacement
$$\sin{\left(x^{2} \right)} = w$$
substitute w:
The graph
Rapid solution [src]
x1 = 0
$$x_{1} = 0$$
        ____
x2 = -\/ pi 
$$x_{2} = - \sqrt{\pi}$$
       ____
x3 = \/ pi 
$$x_{3} = \sqrt{\pi}$$
x3 = sqrt(pi)
Sum and product of roots [src]
sum
    ____     ____
- \/ pi  + \/ pi 
$$- \sqrt{\pi} + \sqrt{\pi}$$
=
0
$$0$$
product
  /   ____\   ____
0*\-\/ pi /*\/ pi 
$$\sqrt{\pi} 0 \left(- \sqrt{\pi}\right)$$
=
0
$$0$$
0
Numerical answer [src]
x1 = 53.8779325133859
x2 = -59.4499094640902
x3 = -30.2357976940353
x4 = -60.9888981852461
x5 = -67.446468865301
x6 = -219.061242084455
x7 = -22.2793994368607
x8 = -102.358250765251
x9 = 97.6620463450291
x10 = 9.86860538583257
x11 = -47.3281688005095
x12 = 86.2148955714351
x13 = -15.7539144225679
x14 = 105.367871942952
x15 = 64.2499240996983
x16 = 52.2498231190263
x17 = -67.5860615683408
x18 = -7.72594721818665
x19 = -89.7498945058111
x20 = -5.87856438167413
x21 = -25.6240680728152
x22 = -53.9070793548543
x23 = -50.3514177699791
x24 = 42.2424505354389
x25 = -11.6227571644753
x26 = -65.7004437278195
x27 = 66.2243410266297
x28 = -9.86860538583257
x29 = -33.862683274665
x30 = -64.1275664870346
x31 = -43.8480866628973
x32 = -55.8533929588406
x33 = -13.6144763601762
x34 = 23.7138163312566
x35 = 3.96332729760601
x36 = 78.2292943160867
x37 = 56.3015718028556
x38 = 30.3395228621317
x39 = 82.1853040708499
x40 = 5.60499121639793
x41 = -95.8600986425016
x42 = -3.96332729760601
x43 = -41.8314129339366
x44 = 46.1519210773927
x45 = 60.0806953935677
x46 = -44.5587988737213
x47 = 96.2035963853511
x48 = 80.212104788192
x49 = -19.8166364880301
x50 = 83.568896540101
x51 = 6.13996024767893
x52 = 32.6343363586107
x53 = 28.2482660354898
x54 = -509.434811845833
x55 = 56.6908218728778
x56 = -93.8731452190634
x57 = 18.2485292908913
x58 = -43.5966002736661
x59 = -86.2331131935235
x60 = 70.4759390524558
x61 = 25.8681123241458
x62 = 22.137941502317
x63 = 0.0
x64 = -39.7914902637393
x65 = 84.7262604713124
x66 = 1523.05464995283
x67 = 16.244807875181
x68 = 8.1224039375905
x69 = -79.405141242584
x70 = -1.77245385090552
x71 = -30.9037888727466
x72 = 94.1238082693386
x72 = 94.1238082693386
The graph
sin(x^2)=0 equation