Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation (x+3)^2-16=(1-2x)^2
-
Equation |x|=5
-
Equation x-cos(x)=0
-
Equation a+970=69*32
- Express {x} in terms of y where:
- 19*x+3*y=-3
- 19*x+11*y=6
- -18*x+16*y=4
- -15*x-3*y=7
-
Identical expressions
- cos7x-cosx= zero
- co sinus of e of 7x minus co sinus of e of x equally 0
- co sinus of e of 7x minus co sinus of e of x equally zero
- cos7x-cosx=O
-
Similar expressions
- cos7x+cosx=0
cos7x-cosx=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
cos(7*x) - cos(x) = 0
$$- \cos{\left(x \right)} + \cos{\left(7 x \right)} = 0$$
Sum and product of roots
[src]
sum
3*pi pi pi pi pi 3*pi - ---- - -- - -- + -- + -- + ---- + pi 4 2 4 4 2 4
$$\left(\left(\left(\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{2}\right) - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{\pi}{2}\right) + \frac{3 \pi}{4}\right) + \pi$$
=
pi
$$\pi$$
product
-3*pi -pi -pi pi pi 3*pi
0*-----*----*----*--*--*----*pi
4 2 4 4 2 4
$$\pi \frac{3 \pi}{4} \frac{\pi}{2} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot - \frac{\pi}{2} \cdot 0 \left(- \frac{3 \pi}{4}\right)$$
=
0
$$0$$
0
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
-3*pi
x2 = -----
4
$$x_{2} = - \frac{3 \pi}{4}$$
-pi
x3 = ----
2
$$x_{3} = - \frac{\pi}{2}$$
-pi
x4 = ----
4
$$x_{4} = - \frac{\pi}{4}$$
pi
x5 = --
4
$$x_{5} = \frac{\pi}{4}$$
pi
x6 = --
2
$$x_{6} = \frac{\pi}{2}$$
3*pi
x7 = ----
4
$$x_{7} = \frac{3 \pi}{4}$$
x8 = pi
$$x_{8} = \pi$$
x8 = pi
Numerical answer
[src]
x1 = 86.3937979737193
x2 = -7.85398163397448
x3 = 43.9822971687467
x4 = -55.7632696012188
x5 = 32.2013246992954
x6 = -83.7758040957278
x7 = 84.037603483527
x8 = -29.845130209103
x9 = -17.8023583703422
x10 = 52.621676947629
x11 = 46.0766922526503
x12 = -46.0766922526503
x13 = -25.9181393921158
x14 = 58.1194640914112
x15 = 79.5870138909414
x16 = -73.8274273593601
x17 = 7.85398163397448
x18 = 0.0
x19 = -91.8915851175014
x20 = -15.707963295179
x21 = -13.3517687777566
x22 = 98.174770424681
x23 = 12.5663707795814
x24 = -65.9734457666188
x25 = 4.18879020478639
x26 = 21.9911485850241
x27 = -85.870199198121
x28 = 28.2743338655972
x29 = -727.278699306037
x30 = 96.342174710087
x31 = -90.0589894029074
x32 = 70.162235930172
x33 = -59.6902604545952
x34 = -43.9822971752927
x35 = -94.247779691068
x36 = -47.9092879672443
x37 = 6.28318528504007
x38 = -37.6991118750592
x39 = -81.6814090337777
x40 = -77.7544181763474
x41 = 65.9734457513837
x42 = 54.4542726622231
x43 = 40.0553063332699
x44 = -69.9004365423729
x45 = -54.9778714378214
x46 = -68.0678408277789
x47 = 54.1924732744239
x48 = -2.0943951023932
x49 = 50.2654824464958
x50 = -12.5663705017497
x51 = -21.9911485866284
x52 = 80.1106126665397
x53 = -33.7721210260903
x54 = 48.1710873550435
x55 = 62.0464549083984
x56 = -95.8185759344887
x57 = 27.4889357189107
x58 = -81.6814089512614
x59 = -87.9645943615229
x60 = -3.92699081698724
x61 = 10.2101761241668
x62 = 24.0855436775217
x63 = 94.247779609355
x64 = -61.7846555205993
x65 = 92.1533845053006
x66 = 57.3340659280137
x67 = -41.8879020478639
x68 = -51.8362787842316
x69 = 19.6349540849362
x70 = 72.2566310277439
x71 = 36.1283155162826
x72 = 84.8230014793646
x73 = -24.0855436775217
x74 = 18.0641577581413
x75 = 14.1371669411541
x76 = -19.8967534727354
x77 = -39.7935069454707
x78 = 26.1799387799149
x79 = -63.8790506229925
x80 = 87.9645943330911
x81 = 2.0943951023932
x82 = -11.7809724509617
x83 = 76.1836218495525
x84 = 41.6261026600648
x85 = -65.9734457062703
x86 = 65.1880475619882
x87 = -99.7455667514759
x88 = -7.33038285837618
x88 = -7.33038285837618