Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^3+4*x^2-x-4=0
-
Equation cos(x)=-1
-
Equation 7+x=4
-
Equation sin(x)=-1
- Express {x} in terms of y where:
- -19*x+1*y=0
- -12*x-3*y=-9
- 18*x-20*y=-7
- 18*x-12*y=-20
-
Identical expressions
- ctg(3x- two)= one
- ctg(3x minus 2) equally 1
- ctg(3x minus two) equally one
- ctg3x-2=1
-
Similar expressions
- ctg(3x+2)=1
ctg(3x-2)=1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Sum and product of roots
[src]
sum
2 pi - + -- 3 12
$$\frac{\pi}{12} + \frac{2}{3}$$
=
2 pi - + -- 3 12
$$\frac{\pi}{12} + \frac{2}{3}$$
product
2 pi - + -- 3 12
$$\frac{\pi}{12} + \frac{2}{3}$$
=
2 pi - + -- 3 12
$$\frac{\pi}{12} + \frac{2}{3}$$
2/3 + pi/12
Rapid solution
[src]
2 pi
x1 = - + --
3 12
$$x_{1} = \frac{\pi}{12} + \frac{2}{3}$$
x1 = pi/12 + 2/3
Numerical answer
[src]
x1 = -54.5730041589539
x2 = 37.5803803463467
x3 = 61.6659240238685
x4 = -77.611350285279
x5 = -28.3930653790389
x6 = 98.3178383157494
x7 = 96.2234432133562
x8 = 4.07005870805561
x9 = -59.8089919149369
x10 = 100.412233418143
x11 = -85.9889306948518
x12 = -24.2042751742525
x13 = -48.2898188517743
x14 = -22.1098800718593
x15 = -98.555301309211
x16 = -90.1777208996382
x17 = 85.7514677013902
x18 = 32.3443925903637
x19 = 35.4859852439535
x20 = 63.7603191262617
x21 = 45.9579607559195
x22 = -88.083325797245
x23 = 87.8458628037834
x24 = 67.9491093310481
x25 = 17.6836268736114
x26 = -15.8266947646797
x27 = 33.3915901415603
x28 = -44.1010286469879
x29 = -26.2986702766457
x30 = 81.5626774966038
x31 = -2.21312659912398
x32 = 26.0612072831842
x33 = -94.3665111044246
x34 = -52.4786090565607
x35 = 39.6747754487399
x36 = -6.40191680391037
x37 = 19.7780219760046
x38 = 59.5715289214753
x39 = 41.7691705511331
x40 = 92.0346530085698
x41 = 50.1467509607059
x42 = 30.2499974879706
x43 = 28.1556023855774
x44 = 78.421084843014
x45 = -96.4609062068178
x46 = 70.0435044334413
x47 = -37.8178433398083
x48 = -72.375362529296
x49 = 94.129048110963
x50 = -61.90338701733
x51 = 72.1378995358345
x52 = -10.5907070086968
x53 = 13.494836668825
x54 = -33.6290531350219
x55 = -0.118731496730782
x56 = -92.2721160020314
x57 = 74.2322946382277
x58 = -81.8001404900654
x59 = 83.657072598997
x60 = 65.8547142286549
x61 = -76.5641527340824
x62 = 11.4004415664318
x63 = -4.30752170151717
x64 = 89.9402579061766
x65 = 43.8635656535263
x66 = -32.5818555838253
x67 = 56.4299362678855
x68 = -8.49631190630356
x69 = -13.7322996622866
x70 = 21.8724170783978
x71 = -20.0154849694661
x72 = -99.6024988604076
x73 = -63.9977821197232
x74 = 52.2411460630991
x75 = 8.258848912842
x76 = -57.7145968125437
x77 = 10.3532440152352
x78 = 23.966812180791
x79 = 57.4771338190821
x80 = -46.1954237493811
x81 = -83.8945355924586
x82 = -50.3842139541675
x83 = -79.7057453876722
x84 = 79.4682823942106
x85 = -42.0066335445947
x86 = -11.6379045598934
x87 = 54.3355411654923
x88 = -68.1865723245096
x89 = -30.4874604814321
x90 = 48.0523558583127
x91 = -17.9210898670729
x92 = -55.6202017101505
x93 = 76.3266897406208
x94 = 15.5892317712182
x95 = -35.7234482374151
x96 = -70.2809674269028
x97 = -39.9122384422015
x98 = -66.0921772221164
x99 = -74.4697576316892
x100 = 1.97566360566241
x101 = 6.1644538104488
x101 = 6.1644538104488