Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation sin(x)+cos(x)=-1
-
Equation 3*9^(x-1/2)-7*6^x+3*4^(x+1)=0
-
Equation tan(x)=-2
-
Equation sin(x)+sin(2*x)+sin(3*x)=0
- Express {x} in terms of y where:
- 12*x+14*y=-15
- -10*x-18*y=6
- -11*x+10*y=-9
- -9*x-15*y=-4
-
Identical expressions
- Ctg(x)+ one = zero
- Ctg(x) plus 1 equally 0
- Ctg(x) plus one equally zero
- Ctgx+1=0
- Ctg(x)+1=O
-
Similar expressions
- Ctg(x)-1=0
Ctg(x)+1=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cot{\left(x \right)} + 1 = 0$$
transform
$$\cot{\left(x \right)} + 1 = 0$$
$$\cot{\left(x \right)} + 1 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = -1$$
We get the answer: w = -1
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
$$\cot{\left(x \right)} + 1 = 0$$
transform
$$\cot{\left(x \right)} + 1 = 0$$
$$\cot{\left(x \right)} + 1 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = -1$$
We get the answer: w = -1
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
Sum and product of roots
[src]
sum
-pi ---- 4
$$- \frac{\pi}{4}$$
=
-pi ---- 4
$$- \frac{\pi}{4}$$
product
-pi ---- 4
$$- \frac{\pi}{4}$$
=
-pi ---- 4
$$- \frac{\pi}{4}$$
-pi/4
Numerical answer
[src]
x1 = -0.785398163397448
x2 = -51.0508806208341
x3 = -98.174770424681
x4 = -7.06858347057703
x5 = -85.6083998103219
x6 = 84.037603483527
x7 = -95.0331777710912
x8 = 18.0641577581413
x9 = 77.7544181763474
x10 = 36.9137136796801
x11 = -41.6261026600648
x12 = -32.2013246992954
x13 = 46.3384916404494
x14 = 8.63937979737193
x15 = -76.1836218495525
x16 = -54.1924732744239
x17 = 40.0553063332699
x18 = -25.9181393921158
x19 = 55.7632696012188
x20 = 71.4712328691678
x21 = -60.4756585816035
x22 = 21.2057504117311
x23 = -38.484510006475
x24 = 2.35619449019234
x25 = 99.7455667514759
x26 = 30.6305283725005
x27 = 90.3207887907066
x28 = 11.7809724509617
x29 = -57.3340659280137
x30 = -29.0597320457056
x31 = -88.7499924639117
x32 = -79.3252145031423
x33 = 65.1880475619882
x34 = 27.4889357189107
x35 = -44.7676953136546
x36 = -16.4933614313464
x37 = -22.776546738526
x38 = -19.6349540849362
x39 = -91.8915851175014
x40 = -63.6172512351933
x41 = -3.92699081698724
x42 = 49.4800842940392
x43 = -13.3517687777566
x44 = -69.9004365423729
x45 = 93.4623814442964
x46 = -73.0420291959627
x47 = 87.1791961371168
x48 = 52.621676947629
x49 = -66.7588438887831
x50 = 24.3473430653209
x51 = 33.7721210260903
x52 = -10.2101761241668
x53 = -35.3429173528852
x54 = 5.49778714378214
x55 = 58.9048622548086
x56 = 96.6039740978861
x57 = 43.1968989868597
x58 = 14.9225651045515
x59 = 74.6128255227576
x60 = -82.4668071567321
x61 = 62.0464549083984
x62 = -47.9092879672443
x63 = 68.329640215578
x64 = 80.8960108299372
x64 = 80.8960108299372