Mister Exam
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How to use it?
- Equation:
-
Equation x^2-8*x+17=0
-
Equation 1/(x-3)^2-3/(x-3)-4=0
-
Equation (x+2)/9=(x-3)/2
-
Equation 14/(x-3)=-7/9
- Express {x} in terms of y where:
- 2*x+13*y=19
- 5*x-13*y=17
- -17*x+1*y=-11
- 1*x+4*y=20
-
Identical expressions
- tgx-3ctgx= zero
- tgx minus 3ctgx equally 0
- tgx minus 3ctgx equally zero
- tgx-3ctgx=O
-
Similar expressions
- 3*tg(x)-3*ctg(x)=8
- tgx+3ctgx=0
tgx-3ctgx=0 equation
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The solution
You have entered
[src]
tan(x) - 3*cot(x) = 0
$$\tan{\left(x \right)} - 3 \cot{\left(x \right)} = 0$$
Sum and product of roots
[src]
sum
pi pi - -- + -- 3 3
$$- \frac{\pi}{3} + \frac{\pi}{3}$$
=
0
$$0$$
product
-pi pi ----*-- 3 3
$$- \frac{\pi}{3} \frac{\pi}{3}$$
=
2 -pi ----- 9
$$- \frac{\pi^{2}}{9}$$
-pi^2/9
Rapid solution
[src]
-pi
x1 = ----
3
$$x_{1} = - \frac{\pi}{3}$$
pi
x2 = --
3
$$x_{2} = \frac{\pi}{3}$$
x2 = pi/3
Numerical answer
[src]
x1 = -4.18879020478639
x2 = 32.4631240870945
x3 = 49.2182849062401
x4 = -42.9350995990605
x5 = -10.471975511966
x6 = -96.342174710087
x7 = 33.5103216382911
x8 = 82.7286065445312
x9 = 38.7463093942741
x10 = 39.7935069454707
x11 = 8.37758040957278
x12 = 89.0117918517108
x13 = 23.0383461263252
x14 = -46.0766922526503
x15 = 63.8790506229925
x16 = -76.4454212373516
x17 = -49.2182849062401
x18 = 41.8879020478639
x19 = -63.8790506229925
x20 = 48.1710873550435
x21 = -16.7551608191456
x22 = -41.8879020478639
x23 = 93.2005820564972
x24 = -82.7286065445312
x25 = 30.3687289847013
x26 = 36.6519142918809
x27 = 67.0206432765823
x28 = -32.4631240870945
x29 = 17.8023583703422
x30 = 45.0294947014537
x31 = -79.5870138909414
x32 = -86.9173967493176
x33 = 77.4926187885482
x34 = -20.943951023932
x35 = -48.1710873550435
x36 = 85.870199198121
x37 = -19.8967534727354
x38 = 24.0855436775217
x39 = -13.6135681655558
x40 = 4.18879020478639
x41 = -5.23598775598299
x42 = -74.3510261349584
x43 = -92.1533845053006
x44 = -17.8023583703422
x45 = -2.0943951023932
x46 = 98.4365698124802
x47 = -54.4542726622231
x48 = -35.6047167406843
x49 = 14.6607657167524
x50 = -98.4365698124802
x51 = 16.7551608191456
x52 = -24.0855436775217
x53 = 27.2271363311115
x54 = 99.4837673636768
x55 = 54.4542726622231
x56 = 26.1799387799149
x57 = 10.471975511966
x58 = 19.8967534727354
x59 = 83.7758040957278
x60 = -26.1799387799149
x61 = 96.342174710087
x62 = -90.0589894029074
x63 = 60.7374579694027
x64 = -57.5958653158129
x65 = -38.7463093942741
x66 = -55.5014702134197
x67 = -52.3598775598299
x68 = -99.4837673636768
x69 = 61.7846555205993
x70 = -77.4926187885482
x71 = -70.162235930172
x72 = -61.7846555205993
x73 = 46.0766922526503
x74 = 11.5191730631626
x75 = -85.870199198121
x76 = -7.33038285837618
x77 = 71.2094334813686
x78 = 52.3598775598299
x79 = -60.7374579694027
x80 = -68.0678408277789
x81 = 58.6430628670095
x82 = -33.5103216382911
x83 = 80.634211442138
x84 = 2.0943951023932
x85 = -30.3687289847013
x86 = 5.23598775598299
x87 = -93.2005820564972
x88 = 90.0589894029074
x89 = -11.5191730631626
x90 = 76.4454212373516
x91 = 55.5014702134197
x92 = -83.7758040957278
x93 = 68.0678408277789
x94 = -27.2271363311115
x95 = -64.9262481741891
x96 = 92.1533845053006
x97 = -39.7935069454707
x98 = 74.3510261349584
x99 = 70.162235930172
x100 = -71.2094334813686
x100 = -71.2094334813686