Mister Exam
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- Equation:
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Equation x^2+3x+2=0
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Equation (x+2)^2+(x-3)^2=2x^2
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Equation 4x^2-2x+5=2x^2-7x+(-3+2x^2)
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Equation 2cosx+1=0
- Express {x} in terms of y where:
- -17*x-15*y=-17
- 1*x-19*y=-10
- -10*x-9*y=-6
- 20*x-8*y=13
-
Identical expressions
- 4cosx+sinx- one = zero
- 4 co sinus of e of x plus sinus of x minus 1 equally 0
- 4 co sinus of e of x plus sinus of x minus one equally zero
- 4cosx+sinx-1=O
-
Similar expressions
- 4cosx+sinx+1=0
- 4cosx-sinx-1=0
4cosx+sinx-1=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
4*cos(x) + sin(x) - 1 = 0
$$\sin{\left(x \right)} + 4 \cos{\left(x \right)} - 1 = 0$$
Sum and product of roots
[src]
sum
pi
0 + -- - 2*atan(3/5)
2
$$- 2 \operatorname{atan}{\left(\frac{3}{5} \right)} + \left(0 + \frac{\pi}{2}\right)$$
=
pi -- - 2*atan(3/5) 2
$$- 2 \operatorname{atan}{\left(\frac{3}{5} \right)} + \frac{\pi}{2}$$
product
pi 1*--*-2*atan(3/5) 2
$$1 \frac{\pi}{2} \left(- 2 \operatorname{atan}{\left(\frac{3}{5} \right)}\right)$$
=
-pi*atan(3/5)
$$- \pi \operatorname{atan}{\left(\frac{3}{5} \right)}$$
-pi*atan(3/5)
Rapid solution
[src]
pi
x1 = --
2
$$x_{1} = \frac{\pi}{2}$$
x2 = -2*atan(3/5)
$$x_{2} = - 2 \operatorname{atan}{\left(\frac{3}{5} \right)}$$
Numerical answer
[src]
x1 = -13.6472096149003
x2 = -26.2135802292595
x3 = 95.8185759344887
x4 = -29.845130209103
x5 = -164.44365698721
x6 = 99.4501259143322
x7 = -73.8274273593601
x8 = 36.6182728425363
x9 = -54.9778714378214
x10 = -48.6946861306418
x11 = 5.20234630663842
x12 = 32.9867228626928
x13 = 20.4203522483337
x14 = -17.2787595947439
x15 = -86.3937979737193
x16 = -23.5619449019235
x17 = -1.08083900054117
x18 = -98.9601685880785
x19 = -105.243353895258
x20 = 55.4678287640751
x21 = 74.3173846856139
x22 = -67.5442420521806
x23 = 64.4026493985908
x24 = 42.9014581497159
x25 = -10.9955742875643
x26 = -80.1106126665397
x27 = 93.1669406071526
x28 = 30.3350875353568
x29 = -70.1958773795166
x30 = 80.6005699927935
x31 = 86.883755299973
x32 = 49.1846434568955
x33 = 58.1194640914112
x34 = -19.9303949220799
x35 = 26.7035375555132
x36 = 17.7687169209976
x37 = -42.4115008234622
x38 = 70.6858347057703
x39 = -92.6769832808989
x40 = -38.7799508436187
x41 = 7.85398163397448
x42 = -82.7622479938758
x43 = 51.8362787842316
x44 = -61.261056745001
x45 = -45.0631361507983
x46 = -76.4790626866962
x47 = 39.2699081698724
x48 = 61.7510140712547
x49 = 45.553093477052
x50 = -51.3463214579779
x51 = -4.71238898038469
x52 = -63.912692072337
x53 = 11.485531613818
x54 = -7.36402430772076
x55 = -95.328618608235
x56 = 89.5353906273091
x57 = 1.5707963267949
x58 = -57.6295067651574
x59 = 76.9690200129499
x60 = 83.2522053201295
x61 = -36.1283155162826
x62 = -32.4967655364391
x63 = 567.057473972958
x64 = 24.0519022281772
x65 = -89.0454333010554
x66 = 68.0341993784343
x67 = 14.1371669411541
x67 = 14.1371669411541
The graph