Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation sin(x/3)=-1/2
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Equation x^2=11
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Equation |x^2-1|-|x-3|=7
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Equation log(4/(7-x))/log(x^2)=5
- Express {x} in terms of y where:
- -14*x-16*y=14
- 16*x-17*y=-9
- -14*x-3*y=-5
- -16*x-20*y=6
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Identical expressions
- (sin(x)-(sqrt(three)/ two))*sqrt(three *x^ two - seven *x+ four)= zero
- ( sinus of (x) minus ( square root of (3) divide by 2)) multiply by square root of (3 multiply by x squared minus 7 multiply by x plus 4) equally 0
- ( sinus of (x) minus ( square root of (three) divide by two)) multiply by square root of (three multiply by x to the power of two minus seven multiply by x plus four) equally zero
- (sin(x)-(√(3)/2))*√(3*x^2-7*x+4)=0
- (sin(x)-(sqrt(3)/2))*sqrt(3*x2-7*x+4)=0
- sinx-sqrt3/2*sqrt3*x2-7*x+4=0
- (sin(x)-(sqrt(3)/2))*sqrt(3*x²-7*x+4)=0
- (sin(x)-(sqrt(3)/2))*sqrt(3*x to the power of 2-7*x+4)=0
- (sin(x)-(sqrt(3)/2))sqrt(3x^2-7x+4)=0
- (sin(x)-(sqrt(3)/2))sqrt(3x2-7x+4)=0
- sinx-sqrt3/2sqrt3x2-7x+4=0
- sinx-sqrt3/2sqrt3x^2-7x+4=0
- (sin(x)-(sqrt(3)/2))*sqrt(3*x^2-7*x+4)=O
- (sin(x)-(sqrt(3) divide by 2))*sqrt(3*x^2-7*x+4)=0
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Similar expressions
- (sin(x)+(sqrt(3)/2))*sqrt(3*x^2-7*x+4)=0
- (sin(x)-(sqrt(3)/2))*sqrt(3*x^2+7*x+4)=0
- (sin(x)-(sqrt(3)/2))*sqrt(3*x^2-7*x-4)=0
- (sinx-(sqrt(3)/2))*sqrt(3*x^2-7*x+4)=0
(sin(x)-(sqrt(3)/2))*sqrt(3*x^2-7*x+4)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/ ___\ ________________ | \/ 3 | / 2 |sin(x) - -----|*\/ 3*x - 7*x + 4 = 0 \ 2 /
$$\sqrt{\left(3 x^{2} - 7 x\right) + 4} \left(\sin{\left(x \right)} - \frac{\sqrt{3}}{2}\right) = 0$$
Sum and product of roots
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sum
pi 2*pi
1 + 4/3 + -- + ----
3 3
$$\frac{2 \pi}{3} + \left(\frac{\pi}{3} + \left(1 + \frac{4}{3}\right)\right)$$
=
7/3 + pi
$$\frac{7}{3} + \pi$$
product
pi 4*-- 3 2*pi ----*---- 3 3
$$\frac{2 \pi}{3} \frac{4 \frac{\pi}{3}}{3}$$
=
2 8*pi ----- 27
$$\frac{8 \pi^{2}}{27}$$
8*pi^2/27
Rapid solution
[src]
x1 = 1
$$x_{1} = 1$$
x2 = 4/3
$$x_{2} = \frac{4}{3}$$
pi
x3 = --
3
$$x_{3} = \frac{\pi}{3}$$
2*pi
x4 = ----
3
$$x_{4} = \frac{2 \pi}{3}$$
x4 = 2*pi/3
Numerical answer
[src]
x1 = -29.3215314335047
x2 = -24.0855436775217
x3 = 27.2271363311115
x4 = -4.18879020478639
x5 = -85.870199198121
x6 = -67.0206432765823
x7 = 32.4631240870945
x8 = 26.1799387799149
x9 = 71.2094334813686
x10 = 52.3598775598299
x11 = -42.9350995990605
x12 = -60.7374579694027
x13 = -68.0678408277789
x14 = 19.8967534727354
x15 = 83.7758040957278
x16 = 45.0294947014537
x17 = 58.6430628670095
x18 = -73.3038285837618
x19 = -287.979326579064
x20 = 77.4926187885482
x21 = -86.9173967493176
x22 = -48.1710873550435
x23 = -79.5870138909414
x24 = -10.471975511966
x25 = -61.7846555205993
x26 = 20.943951023932
x27 = 57.5958653158129
x28 = 7.33038285837618
x29 = 2.0943951023932
x30 = 96.342174710087
x31 = -1197.99399856891
x32 = 33.5103216382911
x33 = 95.2949771588904
x34 = -30.3687289847013
x35 = 38.7463093942741
x36 = 82.7286065445312
x37 = 39.7935069454707
x38 = -23.0383461263252
x39 = -5.23598775598299
x40 = -93.2005820564972
x41 = 64.9262481741891
x42 = 90.0589894029074
x43 = -11.5191730631626
x44 = -74.3510261349584
x45 = -98.4365698124802
x46 = 8.37758040957278
x47 = -92.1533845053006
x48 = -80.634211442138
x49 = 76.4454212373516
x50 = -17.8023583703422
x51 = -4075.69286925716
x52 = 89.0117918517108
x53 = -55.5014702134197
x54 = 63.8790506229925
x55 = 642.979296434711
x56 = 1.0471975511966
x57 = 101.57816246607
x58 = 51.3126800086333
x59 = -99.4837673636768
x60 = -49.2182849062401
x61 = -36.6519142918809
x62 = -54.4542726622231
x63 = -16.7551608191456
x64 = 13.6135681655558
x65 = -35.6047167406843
x66 = 14.6607657167524
x67 = -41.8879020478639
x68 = 70.162235930172
x69 = 46.0766922526503
x69 = 46.0766922526503