学習環境
- Surface
- Windows 10 Pro (OS)
- Nebo(Windows アプリ)
- iPad
- MyScript Nebo - MyScript(iPad アプリ(iOS))
- 参考書籍
代数への出発 (新装版 数学入門シリーズ) (松坂 和夫(著)、岩波書店)の第4章(1次方程式, 2次方程式 )、5(解の係数の関係、2次式の因数分解)、2数を解にもつ2次方程式、問33の解答を求めてみる。
コード
#!/usr/bin/env python3
from unittest import TestCase, main
from sympy import symbols, solveset, plot
print('33.')
x = symbols('x')
f = 2 * x ** 2 - 5 * x - 4
abcs = [(2, -17, 29),
(1, -10, -32),
(4, -41, 16),
(2, -1, -10),
(7, 1, -2)]
gs = [a * x ** 2 + b * x + c for a, b, c in abcs]
a, b = solveset(f)
class MyTestCase(TestCase):
def test1(self):
self.assertEqual({a + 3, b + 3}, solveset(gs[0]))
def test2(self):
self.assertEqual({4 * a, 4 * b}, solveset(gs[1]))
def test3(self):
self.assertEqual(
{x0.expand() for x0 in [a ** 2, b ** 2]},
solveset(gs[2]))
def test4(self):
self.assertEqual({x0.expand()
for x0 in [a + b, a * b]},
solveset(gs[3]))
def test5(self):
self.assertEqual({x0.simplify()
for x0 in [1 / (a - 1), 1 / (b - 1)]},
solveset(gs[4]))
p = plot(f, *gs,
(x, -20, 20),
ylim=(-20, 20),
legend=True,
show=False)
colors = ['red', 'green', 'blue', 'brown', 'orange',
'purple', 'pink', 'gray', 'skyblue', 'yellow']
for o, color in zip(p, colors):
o.line_color = color
p.show()
p.save(f'sample33.png')
if __name__ == "__main__":
main()
入出力結果(Zsh、PowerShell、Terminal、Jupyter(IPython))
% ./sample33.py -v
33.
test1 (__main__.MyTestCase) ... ok
test2 (__main__.MyTestCase) ... ok
test3 (__main__.MyTestCase) ... ok
test4 (__main__.MyTestCase) ... ok
test5 (__main__.MyTestCase) ... ok
----------------------------------------------------------------------
Ran 5 tests in 0.451s
OK
%
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