Mister Exam
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How to use it?
- Equation:
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Equation 4-6*(x+2)=3-5*x
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Equation 1+sin(x)=0
-
Equation x^2-3*x+1=0
-
Equation x^3=27
- Express {x} in terms of y where:
- -18*x-2*y=9
- -7*x-13*y=5
- 20*x-14*y=5
- 8*x-12*y=15
-
Identical expressions
- ctgx/ four = zero
- ctgx divide by 4 equally 0
- ctgx divide by four equally zero
- ctgx/4=O
- ctgx divide by 4=0
ctgx/4=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\frac{\cot{\left(x \right)}}{4} = 0$$
transform
$$\frac{\cot{\left(x \right)}}{4} - 1 = 0$$
$$\frac{\cot{\left(x \right)}}{4} - 1 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$\frac{w}{4} = 1$$
Divide both parts of the equation by 1/4
We get the answer: w = 4
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
$$\frac{\cot{\left(x \right)}}{4} = 0$$
transform
$$\frac{\cot{\left(x \right)}}{4} - 1 = 0$$
$$\frac{\cot{\left(x \right)}}{4} - 1 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$\frac{w}{4} = 1$$
Divide both parts of the equation by 1/4
w = 1 / (1/4)
We get the answer: w = 4
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
Sum and product of roots
[src]
sum
pi -- 2
$$\frac{\pi}{2}$$
=
pi -- 2
$$\frac{\pi}{2}$$
product
pi -- 2
$$\frac{\pi}{2}$$
=
pi -- 2
$$\frac{\pi}{2}$$
pi/2
Numerical answer
[src]
x1 = 48.6946861306418
x2 = 92.6769832808989
x3 = 86.3937979737193
x4 = -7.85398163397448
x5 = -86.3937979737193
x6 = 1.5707963267949
x7 = -64.4026493985908
x8 = -58.1194640914112
x9 = -83.2522053201295
x10 = -54.9778714378214
x11 = 54.9778714378214
x12 = 89.5353906273091
x13 = -20.4203522483337
x14 = 32.9867228626928
x15 = -17.2787595947439
x16 = 23.5619449019235
x17 = -45.553093477052
x18 = 64.4026493985908
x19 = 45.553093477052
x20 = 83.2522053201295
x21 = -29.845130209103
x22 = -51.8362787842316
x23 = 80.1106126665397
x24 = -39.2699081698724
x25 = -92.6769832808989
x26 = 4.71238898038469
x27 = 70.6858347057703
x28 = 36.1283155162826
x29 = -70.6858347057703
x30 = -48.6946861306418
x31 = 42.4115008234622
x32 = -42.4115008234622
x33 = -67.5442420521806
x34 = 10.9955742875643
x35 = 98.9601685880785
x36 = -23.5619449019235
x37 = 20.4203522483337
x38 = -61.261056745001
x39 = -10.9955742875643
x40 = 17.2787595947439
x41 = -95.8185759344887
x42 = -36.1283155162826
x43 = 61.261056745001
x44 = 73.8274273593601
x45 = 14.1371669411541
x46 = -26.7035375555132
x47 = 51.8362787842316
x48 = -89.5353906273091
x49 = 39.2699081698724
x50 = -32.9867228626928
x51 = -14.1371669411541
x52 = -4.71238898038469
x53 = -76.9690200129499
x54 = 95.8185759344887
x55 = 76.9690200129499
x56 = 58.1194640914112
x57 = -80.1106126665397
x58 = -73.8274273593601
x59 = 7.85398163397448
x60 = -1.5707963267949
x61 = 29.845130209103
x62 = 67.5442420521806
x63 = 26.7035375555132
x64 = -98.9601685880785
x64 = -98.9601685880785