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/set approximation exact
/set fr 2
5^x = 3
x = ln(3) / ln(5)
x^3 + x^2 + x = 5
x = 2 / (3 * cbrt(3 * sqrt(561) - 71)) - 1/3 - cbrt(3 * sqrt(561) - 71) / 3
x^4 + 20x^3 + 150x^2 + 500x + 625 = 0
x = -5
x^(1/3) + x^(2/3) = 3
x = 2 * sqrt(13) - 5
ln(x) + x = 3
x = lambertw(e^3)
2^(3x) + 4x = 5
x = 5/4 - lambertw(6 * 8^(1/4) * ln(2)) / (3 * ln(2))
x^(-3x) = 2
x = e^lambertw(-ln(2) / 3) or x = e^lambertw(-ln(2) / 3, -1)
1/3 * sin(3x) - 1/3 = 0
x = (2/3) * pi * n + pi / 6
2/3 * sin(3x) - 1/3 = 0
x = (2/3) * pi * n + (5/18) * pi or x = (2/3) * pi * n + pi / 18
sin(x) + cos(x) = 1
x = 2 pi * n or x = 2 pi * n + pi / 2
sin(x) = 1 + cos(x)
x = 2 pi * n + pi or x = 2 pi * n + pi / 2
sqrt(2) * cos(3x + pi/6) = 1
x = (2/3) * pi * n + pi / 36 or x = (2/3) * pi * n - (5/36) * pi
2 * sin(3x/4) = 1
x = (8/3) * pi * n + (10/9) * pi or x = (8/3) * pi * n + (2/9) * pi
tan(x/4 + pi/3) = sqrt(3)
x = 4 pi * n
sqrt(3) * sin(x) + cos(x) = sqrt(3)
x = 2 pi * n + pi / 2 or x = 2 pi * n + pi / 6
sin(x)^2 = sin(x)^3
x = pi * n or x = 2 pi * n + pi / 2
sin(x) = sin(x/2)
x = 2 pi * n or x = 4 pi * n + (2/3) * pi or x = 4 pi * n - (2/3) * pi
sin(4x) + cos(2x) = 0
x = pi * n + (7/12) * pi or x = pi * n - pi / 12 or x = (pi * n) / 2 - pi / 4
/set approximation try exact
newtonsolve(Ei(x) = 3, 1)
1.397510842
secantsolve(Ei(x) = 3, 1, 4)
1.397510842
newtonsolve(Ei(x) = 3i, 1)
-1.160849461 + 1.034283360i
/set unicode 1
x^7 - x^5 + 3x^2 + 5x = 3
x ≈ 0.4706753153
x^(5x) = 5
x ≈ 1.284730245
1 * 2^(3x) + 4x = 5
x ≈ 0.5171781450
x^(-3x) = 2
x ≈ 0.7280844118 or x ≈ 0.1006083268
#(sqrt(3) + 1) * cos(x) - (sqrt(3) - 1) * sin(x) = 2
# x = 2 pi * n - pi/3 or x = 2 pi * n + pi/6
#3*sin(7x) - 2*sin(4x) + 3*sin(x) = 0
# x = 2 pi * n or ...
#tan(x + pi/4) - tan(x - pi/4) = 4
# x = pi * n - pi/6 or x = pi * n + pi/6
#solve(cos(3x) = sin(x))
# x = pi * n - 7 pi/8 or x = pi * n - 3 pi/8 or x = pi * n - pi/4
#sin(7x) + sin(3x) = 0
# x = 2 pi * n or ...
#sin(x) + sin(2x) = sin(3x)
# x = pi * n or x = 2 pi * n - 2 pi/3 or x = 2 pi * n + 2 pi/3
#sin(2x + pi/4) = cos(pi/6 - x)
# x = 2 pi * n - 19 pi/36 or ...
#sin(5x) + sin(3x) = sin(8x)
# x = 2 pi * n or ...
#2(cos(x)^2) + sqrt(3) * sin(x) = 1
# x = pi * n - pi/3 or ...
#cos(2x) + 4*(sin(x)^2) - cos(x) = 2
# x = pi * n - pi / 2
#sin(x)^2 + sin(2x)^2 = sin(3x)^2
# x = pi * n or x = pi * n - x = pi / 2 or x = pi * n - 5 pi/6 or x = pi * n - pi / 6
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