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©2026 数学クラブ http://sugaku.club/
月 日( )
● 次の方程式を解きなさい
[224-00]
(1)
2
2
x
−
2
x
=
40
(2)
2
3
x
=
27
x
+
30
(3)
2
3
x
−
48
x
+
189
=
0
(4)
2
3
x
=
−
57
x
−
270
(5)
2
2
x
=
2
x
+
60
(6)
2
2
x
+
22
x
=
−
60
(7)
2
2
x
+
24
x
+
70
=
0
(8)
2
2
x
−
24
x
=
−
70
(9)
2
2
x
+
10
x
−
100
=
0
(10)
2
3
x
−
21
x
=
54
©2026 数学クラブ http://sugaku.club/
月 日( )
【解答例】
(1)
2
2
x
−
2
x
=
40
2
(
x
−
5
)
(
x
+
4
)
=
0
x
=
5
,
−4
(2)
2
3
x
=
27
x
+
30
3
(
x
+
1
)
(
x
−
10
)
=
0
x
=
−1
,
10
(3)
2
3
x
−
48
x
+
189
=
0
3
(
x
−
7
)
(
x
−
9
)
=
0
x
=
7
,
9
(4)
2
3
x
=
−
57
x
−
270
3
(
x
+
9
)
(
x
+
10
)
=
0
x
=
−9
,
−10
(5)
2
2
x
=
2
x
+
60
2
(
x
−
6
)
(
x
+
5
)
=
0
x
=
6
,
−5
(6)
2
2
x
+
22
x
=
−
60
2
(
x
+
6
)
(
x
+
5
)
=
0
x
=
−6
,
−5
(7)
2
2
x
+
24
x
+
70
=
0
2
(
x
+
5
)
(
x
+
7
)
=
0
x
=
−5
,
−7
(8)
2
2
x
−
24
x
=
−
70
2
(
x
−
7
)
(
x
−
5
)
=
0
x
=
7
,
5
(9)
2
2
x
+
10
x
−
100
=
0
2
(
x
+
10
)
(
x
−
5
)
=
0
x
=
−10
,
5
(10)
2
3
x
−
21
x
=
54
3
(
x
−
9
)
(
x
+
2
)
=
0
x
=
9
,
−2