Mister Exam

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How to use it?
Equation:
Equation 10/(x+7)=-5/8
Equation 325+=276+183
Equation (cos2x+sinx)/sqrt(sin(x-pi/4))=0
Equation (10*sqrt(x^2-x-1)+3)/((sqrt(x))^2-x-1)=13
Express {x} in terms of y where:
15*x-15*y=16
9*x+18*y=6
(x^2+y^2-1)^3+x^2*y^3=0
-1*x-19*y=-10
Identical expressions
(cos2x+sinx)/sqrt(sin(x-pi/ four))= zero
( co sinus of e of 2x plus sinus of x) divide by square root of ( sinus of (x minus Pi divide by 4)) equally 0
( co sinus of e of 2x plus sinus of x) divide by square root of ( sinus of (x minus Pi divide by four)) equally zero
(cos2x+sinx)/√(sin(x-pi/4))=0
cos2x+sinx/sqrtsinx-pi/4=0
(cos2x+sinx)/sqrt(sin(x-pi/4))=O
(cos2x+sinx) divide by sqrt(sin(x-pi divide by 4))=0
Similar expressions
(cos2x+sinx)/sqrt(sin(x+pi/4))=0
(cos2x-sinx)/sqrt(sin(x-pi/4))=0

(cos2x+sinx)/sqrt(sin(x-pi/4))=0 equation

The teacher will be very surprised to see your correct solution 😉

You have entered [src]

cos(2*x) + sin(x)    
----------------- = 0
    _____________    
   /    /    pi\     
  /  sin|x - --|     
\/      \    4 /

$$\frac{\sin{\left(x \right)} + \cos{\left(2 x \right)}}{\sqrt{\sin{\left(x - \frac{\pi}{4} \right)}}} = 0$$

Simplify

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Sum and product of roots [src]

sum

  5*pi   pi   pi
- ---- - -- + --
   6     6    2

$$\left(- \frac{5 \pi}{6} - \frac{\pi}{6}\right) + \frac{\pi}{2}$$

-pi 
----
 2

$$- \frac{\pi}{2}$$

product

-5*pi -pi  pi
-----*----*--
  6    6   2

$$\frac{\pi}{2} \cdot - \frac{5 \pi}{6} \left(- \frac{\pi}{6}\right)$$

    3
5*pi 
-----
  72

$$\frac{5 \pi^{3}}{72}$$

5*pi^3/72

Rapid solution [src]

     -5*pi
x1 = -----
       6

$$x_{1} = - \frac{5 \pi}{6}$$

     -pi 
x2 = ----
      6

$$x_{2} = - \frac{\pi}{6}$$

     pi
x3 = --
     2

$$x_{3} = \frac{\pi}{2}$$

x3 = pi/2

Numerical answer [src]

x1 = 62.3082542961976

x2 = 22.5147473507269

x3 = 97.9129710368819

x4 = -69.6386371545737

x5 = -42.4115006447927

x6 = 81.1578102177363

x7 = -34.0339204138894

x8 = -92.6769830837347

x9 = 64.4026492958308

x10 = 51.8362788887426

x11 = 76.9690195246316

x12 = -29.8451301081225

x13 = 9.94837673636768

x14 = 12.0427718387609

x15 = -38.2227106186758

x16 = -63.3554518473942

x17 = 95.8185760461691

x18 = -75.9218224617533

x19 = -54.9778715345281

x20 = -19.3731546971371

x21 = 83.2522055050803

x22 = -0.523598775598299

x23 = -88.4881930761125

x24 = -57.0722665402146

x25 = 93.7241808320955

x26 = 14.1371670829014

x27 = -31.9395253114962

x28 = 53.9306738866248

x29 = 60.2138591938044

x30 = -44.5058959258554

x31 = -78.0162175641465

x32 = 7.85398173091484

x33 = -10.99557446797

x34 = 5.75958653158129

x35 = 87.4409955249159

x36 = -23.5619450288472

x37 = 43.4586983746588

x38 = -6.80678408277789

x39 = -50.789081233035

x40 = 45.5530936622296

x41 = -4.71238878791693

x42 = 91.6297857297023

x43 = -80.1106125861987

x44 = 89.5353908153473

x45 = -82.2050077689329

x46 = -101.054563690472

x47 = -21.4675497995303

x48 = -25.6563400043166

x49 = -65.4498469497874

x50 = 68.5914396033772

x51 = -48.6946859355135

x52 = 20.4203521336015

x53 = 24.60914245312

x54 = 1.57079650884753

x55 = 56.025068989018

x56 = 18.3259571459405

x57 = -13.0899693899575

x58 = -98.9601686232111

x59 = 66.497044500984

x60 = -80.1106126364119 + 3.82641881055641e-7*i

x61 = 58.11946472022

x62 = -86.3937977986859

x63 = 30.8923277602996

x64 = 49.7418836818384

x65 = 39.2699083589789

x66 = 70.6858343418985

x67 = 100.007366139275

x68 = 37.1755130674792

x69 = 32.9867225627363

x70 = 74.8746249105567

x71 = -73.8274272862314

x72 = -67.544242191565

x73 = -2.61799387799149

x74 = -17.2787600188798

x75 = 16.2315620435473

x76 = -61.2610572062138

x77 = -71.733032256967

x78 = -94.7713783832921

x79 = -36.1283154273722

x80 = 26.7035371633846

x81 = -27.7507351067098

x81 = -27.7507351067098