Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 2x+9=13-x
-
Equation x^2+4x+13=0
-
Equation x+6(3-3x)=35
-
Equation (x^2-x-2)/(x-3)=0
- Express {x} in terms of y where:
- 2*x+13*y=-7
- -7*x-1*y=7
- -20*x+17*y=-16
- 9*x+8*y=9
-
Identical expressions
- 5tgx-3ctgx+ fourteen = zero
- 5tgx minus 3ctgx plus 14 equally 0
- 5tgx minus 3ctgx plus fourteen equally zero
- 5tgx-3ctgx+14=O
-
Similar expressions
- 5tgx-3ctgx-14=0
- 5tgx+3ctgx+14=0
5tgx-3ctgx+14=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
5*tan(x) - 3*cot(x) + 14 = 0
$$\left(5 \tan{\left(x \right)} - 3 \cot{\left(x \right)}\right) + 14 = 0$$
Sum and product of roots
[src]
sum
atan(1/5) - atan(3)
$$- \operatorname{atan}{\left(3 \right)} + \operatorname{atan}{\left(\frac{1}{5} \right)}$$
=
-atan(3) + atan(1/5)
$$- \operatorname{atan}{\left(3 \right)} + \operatorname{atan}{\left(\frac{1}{5} \right)}$$
product
atan(1/5)*(-atan(3))
$$\operatorname{atan}{\left(\frac{1}{5} \right)} \left(- \operatorname{atan}{\left(3 \right)}\right)$$
=
-atan(3)*atan(1/5)
$$- \operatorname{atan}{\left(\frac{1}{5} \right)} \operatorname{atan}{\left(3 \right)}$$
-atan(3)*atan(1/5)
Rapid solution
[src]
x1 = atan(1/5)
$$x_{1} = \operatorname{atan}{\left(\frac{1}{5} \right)}$$
x2 = -atan(3)
$$x_{2} = - \operatorname{atan}{\left(3 \right)}$$
x2 = -atan(3)
Numerical answer
[src]
x1 = -32.6649723082962
x2 = 71.007585260167
x3 = -90.9087913942541
x4 = 58.4412146458078
x5 = -38.9481576154758
x6 = -92.3552327265023
x7 = 27.0252881099099
x8 = -46.926494243997
x9 = -6.08578974732971
x10 = -76.6472694585533
x11 = -72.0592354727154
x12 = 49.0164366850384
x13 = -60.9393061906043
x14 = 33.3084734170895
x15 = -64.0808988441941
x16 = -57.7977135370145
x17 = 45.8748440314486
x18 = -68.9176428191256
x19 = 1.89254688119154
x20 = -62.634457511946
x21 = 66.1708412852355
x22 = 96.1403264888853
x23 = -84.6256060870745
x24 = 37.8965074029274
x25 = 14.4589174955507
x26 = -87.7671987406643
x27 = 23.8836954563201
x28 = -50.0680868975868
x29 = -13.8154163867574
x30 = -95.496825380092
x31 = -82.9304547657329
x32 = 81.8788045531845
x33 = 36.4500660706793
x34 = -79.7888621121431
x35 = -43.7849015904072
x36 = 5.03413953478133
x37 = -35.806564961886
x38 = 30.1668807634997
x39 = -21.7937530152787
x40 = -16.9570090403472
x41 = 47.3212853636968
x42 = -4.39063842598805
x43 = 83.5739558745262
x44 = -26.3817870011166
x45 = 61.5828072993976
x46 = 59.887655978056
x47 = -20.098601693937
x48 = -94.0503840478439
x49 = -51.5145282298349
x50 = -53.2096795511766
x51 = 99.2819191424751
x52 = 92.9987338352955
x53 = 15.9053588277988
x54 = -65.7760501655358
x55 = 88.1619898603641
x56 = -98.6384180336818
x57 = -42.0897502690656
x58 = 91.3035825139539
x59 = 17.6005101491405
x60 = -7.53223107957784
x61 = 89.8571411817058
x62 = -86.0720474193227
x63 = 69.3124339388253
x64 = -70.3640841513737
x65 = 39.5916587242691
x66 = 74.1491779137568
x67 = 55.299621992218
x68 = 67.8659926065772
x69 = 180.96332813581
x70 = -57.7977135370145
x71 = -54.6561208834247
x72 = 22.1885441349784
x73 = 80.4323632209364
x74 = -28.0769383224583
x75 = 44.179692710107
x76 = -10.6738237331676
x77 = 11.3173248419609
x78 = -48.3729355762452
x79 = -29.5233796547064
x80 = 8.17573218837112
x81 = 77.2907705673466
x82 = 52.1580293386282
x83 = -24.9353456688685
x83 = -24.9353456688685