Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 4x-x^2=x^2-x+3
-
Equation (x-4)/x=(2*x+10)/(x+4)
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Equation x+1/3=x-1/2
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Equation x-4=-2x+8
- Express {x} in terms of y where:
- -10*x+8*y=-12
- -20*x-20*y=-18
- -17*x+6*y=-6
- -13*x+4*y=7
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Identical expressions
- (two *sin(x)^ two - three *sin(x)+ one)/(sqrt(three)*tg(x)- one)= zero
- (2 multiply by sinus of (x) squared minus 3 multiply by sinus of (x) plus 1) divide by ( square root of (3) multiply by tg(x) minus 1) equally 0
- (two multiply by sinus of (x) to the power of two minus three multiply by sinus of (x) plus one) divide by ( square root of (three) multiply by tg(x) minus one) equally zero
- (2*sin(x)^2-3*sin(x)+1)/(√(3)*tg(x)-1)=0
- (2*sin(x)2-3*sin(x)+1)/(sqrt(3)*tg(x)-1)=0
- 2*sinx2-3*sinx+1/sqrt3*tgx-1=0
- (2*sin(x)²-3*sin(x)+1)/(sqrt(3)*tg(x)-1)=0
- (2*sin(x) to the power of 2-3*sin(x)+1)/(sqrt(3)*tg(x)-1)=0
- (2sin(x)^2-3sin(x)+1)/(sqrt(3)tg(x)-1)=0
- (2sin(x)2-3sin(x)+1)/(sqrt(3)tg(x)-1)=0
- 2sinx2-3sinx+1/sqrt3tgx-1=0
- 2sinx^2-3sinx+1/sqrt3tgx-1=0
- (2*sin(x)^2-3*sin(x)+1)/(sqrt(3)*tg(x)-1)=O
- (2*sin(x)^2-3*sin(x)+1) divide by (sqrt(3)*tg(x)-1)=0
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Similar expressions
- (2*sin(x)^2-3*sin(x)+1)/(sqrt(3)*tg(x)+1)=0
- (2*sin(x)^2-3*sin(x)-1)/(sqrt(3)*tg(x)-1)=0
- (2*sin(x)^2+3*sin(x)+1)/(sqrt(3)*tg(x)-1)=0
- (2*sinx^2-3*sinx+1)/(sqrt(3)*tg(x)-1)=0
(2*sin(x)^2-3*sin(x)+1)/(sqrt(3)*tg(x)-1)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2
2*sin (x) - 3*sin(x) + 1
------------------------ = 0
___
\/ 3 *tan(x) - 1
$$\frac{\left(2 \sin^{2}{\left(x \right)} - 3 \sin{\left(x \right)}\right) + 1}{\sqrt{3} \tan{\left(x \right)} - 1} = 0$$
Sum and product of roots
[src]
sum
pi 5*pi -- + ---- 2 6
$$\frac{\pi}{2} + \frac{5 \pi}{6}$$
=
4*pi ---- 3
$$\frac{4 \pi}{3}$$
product
pi 5*pi --*---- 2 6
$$\frac{\pi}{2} \frac{5 \pi}{6}$$
=
2 5*pi ----- 12
$$\frac{5 \pi^{2}}{12}$$
5*pi^2/12
Rapid solution
[src]
pi
x1 = --
2
$$x_{1} = \frac{\pi}{2}$$
5*pi
x2 = ----
6
$$x_{2} = \frac{5 \pi}{6}$$
x2 = 5*pi/6
Numerical answer
[src]
x1 = -60.2138591938044
x2 = 29.845130209103
x3 = 59.1666616426078
x4 = 84.2994028713261
x5 = -39.2699081698724
x6 = 54.9778714378214
x7 = 58.119501695255
x8 = -32.9867228626928
x9 = -14.1371669411541
x10 = 65.4498469497874
x11 = 42.4115008234622
x12 = 27.7507351067098
x13 = 15.1843644923507
x14 = 70.6857288300708
x15 = 7.85402189557085
x16 = -97.9129710368819
x17 = -73.8274107688253
x18 = 26.7034276916785
x19 = -17.2788734222409
x20 = 14.1371773280793
x21 = 20.420308819637
x22 = -9.94837673636768
x23 = -80.110580238459
x24 = -42.4114280559097
x25 = 48.6946861306418
x26 = -20.4203522483337
x27 = -36.1282790477938
x28 = 58.1194634360587
x29 = 78.0162175641465
x30 = -53.9306738866248
x31 = -72.7802298081635
x32 = 36.1283155162826
x33 = -29.8450159522152
x34 = -67.5442941025478
x35 = 45.5531661387221
x36 = -16.2315620435473
x37 = -73.8272974153226
x38 = -89.5353906273091
x39 = 4.71238898038469
x40 = 86.3937979737193
x41 = -92.6769091051588
x42 = 102.101759367265
x43 = 10.9955742875643
x44 = -51.8362787842316
x45 = 95.8186231193097
x46 = -1.5707963267949
x47 = -76.9690200129499
x48 = -28.7979326579064
x49 = 71.733032256967
x50 = -29.8451141602273
x51 = -95.8185759344887
x52 = -64.4026493985908
x53 = 80.1106126665397
x54 = 73.8274273593601
x55 = 89.5354624577682
x56 = -7.85398163397448
x57 = 23.5619449019235
x58 = -22.5147473507269
x59 = 92.6769832808989
x60 = 1.57086926419159
x61 = 40.317105721069
x62 = -47.6474885794452
x63 = -61.2611745108082
x64 = -3.66519142918809
x65 = -45.553093477052
x66 = -83.2522053201295
x67 = -86.3937257472607
x68 = 34.0339204138894
x69 = -66.497044500984
x70 = -58.1194640914112
x71 = 14.1372450374663
x72 = 51.8363226125494
x73 = 21.4675497995303
x74 = 64.4026103236673
x75 = 98.9601685880785
x76 = 67.5442420521806
x77 = -23.5619926550091
x77 = -23.5619926550091