Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 7x+3=30-2x
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Equation x^4-5x^2+4=0
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Equation (x^2-9)^2+(x^2-2*x-15)^2=0
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Equation 5x-25+2x^2=17+13x
- Express {x} in terms of y where:
- 4*x+13*y=13
- 17*x-19*y=1
- 10*x+9*y=-4
- -12*x+3*y=-9
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Identical expressions
- (arctan(sqrt(two)tan(x)+ one)+arctan(sqrt(two)tan(x)- one))/sqrt(two)- one /(sqrt(two))arctan(tan(two x)/sqrt(2))= zero
- (arc tangent of ( square root of (2) tangent of (x) plus 1) plus arc tangent of ( square root of (2) tangent of (x) minus 1)) divide by square root of (2) minus 1 divide by ( square root of (2))arc tangent of ( tangent of (2x) divide by square root of (2)) equally 0
- (arc tangent of ( square root of (two) tangent of (x) plus one) plus arc tangent of ( square root of (two) tangent of (x) minus one)) divide by square root of (two) minus one divide by ( square root of (two))arc tangent of ( tangent of (two x) divide by square root of (2)) equally zero
- (arctan(√(2)tan(x)+1)+arctan(√(2)tan(x)-1))/√(2)-1/(√(2))arctan(tan(2x)/√(2))=0
- arctansqrt2tanx+1+arctansqrt2tanx-1/sqrt2-1/sqrt2arctantan2x/sqrt2=0
- (arctan(sqrt(2)tan(x)+1)+arctan(sqrt(2)tan(x)-1))/sqrt(2)-1/(sqrt(2))arctan(tan(2x)/sqrt(2))=O
- (arctan(sqrt(2)tan(x)+1)+arctan(sqrt(2)tan(x)-1)) divide by sqrt(2)-1 divide by (sqrt(2))arctan(tan(2x) divide by sqrt(2))=0
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Similar expressions
- (arctan(sqrt(2)tan(x)+1)+arctan(sqrt(2)tan(x)+1))/sqrt(2)-1/(sqrt(2))arctan(tan(2x)/sqrt(2))=0
- (arctan(sqrt(2)tan(x)+1)-arctan(sqrt(2)tan(x)-1))/sqrt(2)-1/(sqrt(2))arctan(tan(2x)/sqrt(2))=0
- (arctan(sqrt(2)tan(x)-1)+arctan(sqrt(2)tan(x)-1))/sqrt(2)-1/(sqrt(2))arctan(tan(2x)/sqrt(2))=0
- (arctan(sqrt(2)tan(x)+1)+arctan(sqrt(2)tan(x)-1))/sqrt(2)+1/(sqrt(2))arctan(tan(2x)/sqrt(2))=0
(arctan(sqrt(2)tan(x)+1)+arctan(sqrt(2)tan(x)-1))/sqrt(2)-1/(sqrt(2))arctan(tan(2x)/sqrt(2))=0 equation
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The solution
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[src]
/tan(2*x)\
atan|--------|
/ ___ \ / ___ \ | ___ |
atan\\/ 2 *tan(x) + 1/ + atan\\/ 2 *tan(x) - 1/ \ \/ 2 /
----------------------------------------------- - -------------- = 0
___ ___
\/ 2 \/ 2
$$\frac{\operatorname{atan}{\left(\sqrt{2} \tan{\left(x \right)} - 1 \right)} + \operatorname{atan}{\left(\sqrt{2} \tan{\left(x \right)} + 1 \right)}}{\sqrt{2}} - \frac{\operatorname{atan}{\left(\frac{\tan{\left(2 x \right)}}{\sqrt{2}} \right)}}{\sqrt{2}} = 0$$
Numerical answer
[src]
x1 = 62.25
x2 = 84.25
x3 = 2.14844635898598e+25
x4 = -88.0357142857143
x5 = -43.75
x6 = 34.25
x7 = -97.75
x8 = 72.2524621297772
x9 = 32.0
x10 = 78.0
x11 = 0.0
x12 = -22.3075757575758
x13 = -32.0
x14 = 10.0
x15 = -9.75
x16 = 18.25
x17 = -25.75
x18 = 66.25
x19 = -28.0
x20 = 87.8375497117016
x21 = -76.0
x22 = -82.0
x23 = -54.0
x24 = -1.71875708718879e+26
x25 = 76.0
x26 = 21.9309929358949
x27 = -100.0
x28 = -56.0
x29 = -49.75
x30 = -78.0
x31 = -34.0
x32 = -69.75
x33 = -6.0
x34 = -91.75
x35 = -65.75
x36 = 94.0
x37 = 56.0
x38 = 40.25
x39 = -16.0
x40 = 43.9484947705721
x41 = 6.0
x42 = 50.1666666666667
x43 = 60.0
x44 = -47.75
x45 = 100.0
x46 = 82.0
x47 = -94.0
x48 = -60.0
x49 = 12.0
x50 = 1.71875708718879e+26
x51 = -12.0
x52 = 38.25
x53 = 16.0
x54 = 28.0
x55 = -71.75
x56 = -3.75
x57 = 98.0
x58 = 54.0
x59 = -2.14844635898598e+25
x59 = -2.14844635898598e+25