Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 2x=0
-
Equation -5*x=25
-
Equation 25*x^2=16
- Equation 3*x^2-48=0
- Express {x} in terms of y where:
- 13*x-1*y=-20
- -2*x-18*y=10
- -12*x-11*y=19
- -6*x+11*y=-5
-
Identical expressions
- tan(x/ two -pi/ five)= one
- tangent of (x divide by 2 minus Pi divide by 5) equally 1
- tangent of (x divide by two minus Pi divide by five) equally one
- tanx/2-pi/5=1
- tan(x divide by 2-pi divide by 5)=1
-
Similar expressions
- tan(x/2+pi/5)=1
tan(x/2-pi/5)=1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/x pi\ tan|- - --| = 1 \2 5 /
$$\tan{\left(\frac{x}{2} - \frac{\pi}{5} \right)} = 1$$
Sum and product of roots
[src]
sum
-11*pi ------ 10
$$- \frac{11 \pi}{10}$$
=
-11*pi ------ 10
$$- \frac{11 \pi}{10}$$
product
-11*pi ------ 10
$$- \frac{11 \pi}{10}$$
=
-11*pi ------ 10
$$- \frac{11 \pi}{10}$$
-11*pi/10
Numerical answer
[src]
x1 = -47.4380490692059
x2 = -53.7212343763855
x3 = 71.9424717672063
x4 = 21.6769893097696
x5 = -34.8716784548467
x6 = 65.6592864600267
x7 = -41.1548637620263
x8 = 103.358398303104
x9 = -66.2876049907446
x10 = 2.82743338823081
x11 = -91.420346219463
x12 = 59.3761011528471
x13 = 78.2256570743859
x14 = 84.5088423815654
x15 = -16.0221225333079
x16 = 53.0929158456675
x17 = 34.2433599241287
x18 = 27.9601746169492
x19 = -28.5884931476671
x20 = 97.0752129959246
x21 = 46.8097305384879
x22 = 15.39380400259
x23 = -22.3053078404875
x24 = 9.1106186954104
x25 = -72.5707902979242
x26 = -78.8539756051038
x27 = 40.5265452313083
x28 = -60.0044196835651
x29 = -9.73893722612836
x30 = -3.45575191894877
x31 = -97.7035315266426
x32 = -85.1371609122834
x33 = 90.792027688745
x33 = 90.792027688745