Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 3*x^2-12*x+12=0
-
Equation 5(x-2,2)=7x
-
Equation -2x=4
-
Equation 10/(6-x)=4/(x+2)
- Express {x} in terms of y where:
- 4*x+5*y=7
- 4*x-2*y=4
- -19*x+10*y=11
- 16*x-9*y=-17
-
Identical expressions
- cot(three *x)+ one = zero
- cotangent of (3 multiply by x) plus 1 equally 0
- cotangent of (three multiply by x) plus one equally zero
- cot(3x)+1=0
- cot3x+1=0
- cot(3*x)+1=O
-
Similar expressions
- cot(3*x)-1=0
cot(3*x)+1=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cot{\left(3 x \right)} + 1 = 0$$
transform
$$\cot{\left(3 x \right)} + 1 = 0$$
$$\cot{\left(3 x \right)} + 1 = 0$$
Do replacement
$$w = \cot{\left(3 x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = -1$$
We get the answer: w = -1
do backward replacement
$$\cot{\left(3 x \right)} = w$$
substitute w:
$$\cot{\left(3 x \right)} + 1 = 0$$
transform
$$\cot{\left(3 x \right)} + 1 = 0$$
$$\cot{\left(3 x \right)} + 1 = 0$$
Do replacement
$$w = \cot{\left(3 x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = -1$$
We get the answer: w = -1
do backward replacement
$$\cot{\left(3 x \right)} = w$$
substitute w:
Sum and product of roots
[src]
sum
-pi ---- 12
$$- \frac{\pi}{12}$$
=
-pi ---- 12
$$- \frac{\pi}{12}$$
product
-pi ---- 12
$$- \frac{\pi}{12}$$
=
-pi ---- 12
$$- \frac{\pi}{12}$$
-pi/12
Numerical answer
[src]
x1 = -95.5567765466895
x2 = -84.037603483527
x3 = 80.3724120543389
x4 = -1.30899693899575
x5 = 34.2957198016886
x6 = -55.7632696012188
x7 = -71.4712328691678
x8 = -19.1113553093379
x9 = 30.1069295969022
x10 = 93.9859802198946
x11 = -87.1791961371168
x12 = -63.093652459595
x13 = -21.2057504117311
x14 = -29.5833308213039
x15 = -15.9697626557481
x16 = 82.4668071567321
x17 = -11.7809724509617
x18 = 60.4756585816035
x19 = 38.484510006475
x20 = -9.68657734856853
x21 = 44.7676953136546
x22 = -91.3679863419031
x23 = 78.2780169519457
x24 = 76.1836218495525
x25 = -31.6777259236971
x26 = 36.3901149040818
x27 = -77.7544181763474
x28 = 16.4933614313464
x29 = 69.9004365423729
x30 = 32.2013246992954
x31 = -51.5744793964324
x32 = 24.8709418409192
x33 = 22.776546738526
x34 = -23.3001455141243
x35 = 14.3989663289532
x36 = 74.0892267471593
x37 = -75.6600230739542
x38 = 62.5700536839967
x39 = 56.2868683768171
x40 = -67.2824426643814
x41 = -25.3945406165175
x42 = -27.4889357189107
x43 = -89.27359123951
x44 = -62.0464549083984
x45 = -73.565627971561
x46 = -18.0641577581413
x47 = 68.8532389911763
x48 = -7.59218224617533
x49 = 28.012534494509
x50 = -37.9609112308767
x51 = -97.6511716490827
x52 = 12.30457122656
x53 = 46.8620904160477
x54 = -93.4623814442964
x55 = 47.9092879672443
x56 = -49.4800842940392
x57 = -65.1880475619882
x58 = 90.8443875663049
x59 = 64.6644487863899
x60 = 40.5789051088682
x61 = -41.1025038844665
x62 = -43.1968989868597
x63 = 54.1924732744239
x64 = -86.1319985859202
x65 = -13.8753675533549
x66 = -59.9520598060052
x67 = -5.49778714378214
x68 = -45.2912940892529
x69 = 3.92699081698724
x70 = -79.8488132787406
x71 = -69.3768377667746
x72 = -35.8665161284835
x73 = 10.2101761241668
x74 = -47.3856891916461
x75 = 100.269165527074
x76 = 2.87979326579064
x77 = 8.11578102177363
x78 = -33.7721210260903
x79 = 66.7588438887831
x80 = 42.6733002112614
x81 = 71.9948316447661
x82 = -57.857664703612
x83 = -53.6688744988256
x84 = 96.0803753222878
x85 = 88.7499924639117
x86 = 25.9181393921158
x87 = 91.8915851175014
x88 = 52.0980781720307
x89 = -40.0553063332699
x90 = 98.174770424681
x91 = 18.5877565337396
x92 = 58.3812634792103
x93 = -81.9432083811338
x94 = -3.40339204138894
x95 = 84.5612022591253
x96 = 20.6821516361328
x97 = 50.0036830696375
x98 = 6.02138591938044
x99 = 86.6555973615185
x100 = -99.7455667514759
x100 = -99.7455667514759