Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation cos(x)-1=0
- Equation 64-x^2=0
-
Equation sin(5*x)=-1
-
Equation 7^x-2=49
- Express {x} in terms of y where:
- -10*x+3*y=-4
- -9*x-20*y=-10
- -3*x-9*y=-15
- -2*x-2*y=19
- Graphing y =:
- tg2x
- 3tgx
- Integral of d{x}:
-
tg2x
- Derivative of:
-
tg2x
-
3tgx
-
Identical expressions
- tg2x=3tgx
- tg2x equally 3tgx
-
Similar expressions
- sqrt(3)*tgx*((3x/4)+(pi/6))=1
- 2(tg(x))^4+16*sqrt(3)(tg(x))^3-13(tg(x))^2-7=0
- tg^2*x/2
- 2-1/ctg^2x=0
- -x-arctg(2*x)=-3,14
- √3*tg(x/3+π/6)=3
- tg*2x=2
tg2x=3tgx equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
-5*pi
x2 = -----
6
$$x_{2} = - \frac{5 \pi}{6}$$
-pi
x3 = ----
6
$$x_{3} = - \frac{\pi}{6}$$
pi
x4 = --
6
$$x_{4} = \frac{\pi}{6}$$
5*pi
x5 = ----
6
$$x_{5} = \frac{5 \pi}{6}$$
x6 = pi
$$x_{6} = \pi$$
x6 = pi
Sum and product of roots
[src]
sum
5*pi pi pi 5*pi - ---- - -- + -- + ---- + pi 6 6 6 6
$$\left(\left(\left(- \frac{5 \pi}{6} - \frac{\pi}{6}\right) + \frac{\pi}{6}\right) + \frac{5 \pi}{6}\right) + \pi$$
=
pi
$$\pi$$
product
-5*pi -pi pi 5*pi
0*-----*----*--*----*pi
6 6 6 6
$$\pi \frac{5 \pi}{6} \frac{\pi}{6} \cdot - \frac{\pi}{6} \cdot 0 \left(- \frac{5 \pi}{6}\right)$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = 84.2994028713261
x2 = -65.9734457253857
x3 = -15.707963267949
x4 = -69.1150383789755
x5 = 50.2654824574367
x6 = 81.6814089933346
x7 = 153.9380400259
x8 = 3.14159265358979
x9 = -75.398223686155
x10 = -97.9129710368819
x11 = -35.081117965086
x12 = -3.66519142918809
x13 = -52.8834763354282
x14 = -5.75958653158129
x15 = 47.6474885794452
x16 = 75.398223686155
x17 = -25.6563400043166
x18 = 19.3731546971371
x19 = -2.61799387799149
x20 = -59.6902604182061
x21 = -9.94837673636768
x22 = 21.9911485751286
x23 = -47.6474885794452
x24 = 6.28318530717959
x25 = 97.9129710368819
x26 = 62.8318530717959
x27 = -87.9645943005142
x28 = 9.42477796076938
x29 = -18.8495559215388
x30 = -28.2743338823081
x31 = 15.1843644923507
x32 = 66.497044500984
x33 = 28.2743338823081
x34 = -79.0634151153431
x35 = -47.1238898038469
x36 = -16.2315620435473
x37 = 31.4159265358979
x38 = 94.2477796076938
x39 = -93.7241808320955
x40 = 75.9218224617533
x41 = -84.8230016469244
x42 = 12.0427718387609
x43 = -97.3893722612836
x44 = 37.6991118430775
x45 = -40.317105721069
x46 = -57.0722665402146
x47 = -34.0339204138894
x48 = 82.2050077689329
x49 = 9.94837673636768
x50 = 60.2138591938044
x51 = 31.9395253114962
x52 = -49.7418836818384
x53 = 100.007366139275
x54 = -37.6991118430775
x55 = 90.5825881785057
x56 = 78.0162175641465
x57 = 38.2227106186758
x58 = -91.6297857297023
x59 = 91.106186954104
x60 = 53.9306738866248
x61 = -12.5663706143592
x62 = 27.7507351067098
x63 = -81.6814089933346
x64 = 43.9822971502571
x65 = -31.9395253114962
x66 = -56.025068989018
x67 = 41.3643032722656
x68 = 0.0
x69 = -53.9306738866248
x70 = -21.9911485751286
x71 = -69.6386371545737
x72 = -24.60914245312
x73 = 16.2315620435473
x74 = -78.0162175641465
x75 = -75.9218224617533
x76 = 65.9734457253857
x77 = -62.8318530717959
x78 = -12.0427718387609
x79 = 56.025068989018
x80 = 40.317105721069
x81 = -100.007366139275
x82 = -71.733032256967
x83 = -27.7507351067098
x84 = -43.9822971502571
x85 = 34.0339204138894
x86 = -84.2994028713261
x87 = 18.3259571459405
x88 = -28.7979326579064
x89 = 84.8230016469244
x90 = -6.80678408277789
x91 = 72.2566310325652
x92 = 59.1666616426078
x93 = 62.3082542961976
x94 = 87.9645943005142
x94 = 87.9645943005142