Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 5-2(x-1)=4-x
-
Equation x^2+x-4=0
-
Equation 2-3*(2*x+2)=5-4*x
-
Equation x^4=(4x-21)^2
- Express {x} in terms of y where:
- -10*x+16*y=-6
- 2*x+2*y=-6
- -17*x+13*y=-3
- -11*x-14*y=-3
- Integral of d{x}:
- ctgx
- Derivative of:
-
ctgx
-
Identical expressions
- ctgx= one , eight
- ctgx equally 1,8
- ctgx equally one , eight
-
Similar expressions
- arctg(x/3)=x/4
- 1-tg(x)^2=-(tg(x)-5ctg(x))*tg(2x)
- x-2*arctg(x)=0
- ctg(x)=1/2
ctgx=1,8 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cot{\left(x \right)} = \frac{9}{5}$$
transform
$$\cot{\left(x \right)} - \frac{9}{5} = 0$$
$$\cot{\left(x \right)} - \frac{9}{5} = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = \frac{9}{5}$$
We get the answer: w = 9/5
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
$$\cot{\left(x \right)} = \frac{9}{5}$$
transform
$$\cot{\left(x \right)} - \frac{9}{5} = 0$$
$$\cot{\left(x \right)} - \frac{9}{5} = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = \frac{9}{5}$$
We get the answer: w = 9/5
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
Sum and product of roots
[src]
sum
0 + acot(9/5)
$$0 + \operatorname{acot}{\left(\frac{9}{5} \right)}$$
=
acot(9/5)
$$\operatorname{acot}{\left(\frac{9}{5} \right)}$$
product
1*acot(9/5)
$$1 \operatorname{acot}{\left(\frac{9}{5} \right)}$$
=
acot(9/5)
$$\operatorname{acot}{\left(\frac{9}{5} \right)}$$
acot(9/5)
Numerical answer
[src]
x1 = 94.7548781120861
x2 = -5.77608680278725
x3 = 88.4716928049066
x4 = -37.1920133386852
x5 = -100.023866410481
x6 = -84.3159031425321
x7 = 66.480544229778
x8 = 28.7814323867005
x9 = -21.4840500707362
x10 = 97.8964707656759
x11 = 25.6398397331107
x12 = 22.4982470795209
x13 = 16.2150617723413
x14 = -43.4751986458648
x15 = -56.0415692602239
x16 = -62.3247545674035
x17 = -27.7672353779158
x18 = 72.7637295369576
x19 = -15.2008647635566
x20 = -71.7495325281729
x21 = 3.64869115798213
x22 = 31.9230250402903
x23 = 91.6132854584963
x24 = 85.3301001513168
x25 = 60.1973589225984
x26 = -18.3424574171464
x27 = 75.9053221905474
x28 = -1124.18307148075
x29 = 0.507098504392337
x30 = -49.7583839530444
x31 = -65.4663472209933
x32 = 44.4893956546494
x33 = 38.2062103474699
x34 = -93.7406811033015
x35 = 82.188507497727
x36 = -27.7672353779158
x37 = 47.6309883082392
x38 = 9.93187646516172
x39 = -87.4574957961219
x40 = 69.6221368833678
x41 = -12.0592721099668
x42 = 53.9141736154188
x43 = -40.333605992275
x44 = -90.5990884497117
x45 = -34.0504206850954
x46 = 6.79028381157192
x47 = 50.772580961829
x48 = -78.0327178353525
x49 = -59.1831619138137
x49 = -59.1831619138137
The graph