Full text: Vorschule der Mathematik

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1. Abth. Arithmetik. Grundoperationen. §. 64. 
(10a — 3b) (5x -1-4) — (3a — 10b) (7x -f- 8). 
(t x — 3r + 2 r) (t x — 7r )' 
(a — 2b + 3c) (5x — c) — (7c — 4a -1- 5b) (7x •+• 3c). 
x . bx v , 3x , /h x 0 \ 
_ + l_ T+ 5d= T -4^__3d| 
in ^ x 
4 m 2 x — h 2 u — 8n 2 erx 
n x = *. 2 — 
5ng 
24 (3ax — 20 2 b) 
7 c 2 k 
l x _ 43 + -|-x + 7 — -^-x-321 + 10-i-x = 0. 
n g 
13 (5ax — 22-fb) 
9ck 5 
-h 
bx 
ax ox cx dx 
1 1 1- — = ax 2 
m u p q 
bx 2 
cx- 1 
dx*. 
abc (« -H m) 2 x 
in 
17 
— 231 — 
- — m x = (a c + 5 b x) 7 m. 
23 —x 
4 (3a 2 — 5x) 
17 mx 
3a* —2ab -f- ob 2 
4x 
7 (4 a 2 
216. 
3x) 
1- 1 — oö 49. 
33 in x 
7a 2 16ab — 8 b 2 
a — ox 
14a 2 — 2a 2 bx 
17 mx 
4m (k* — 5x*) 
2a -1- x 
21 a 3 + 5a 2 bx .. a 
31 c* — h 20c*. 
8x 
24x s 
— 7 mp -f- 
ox 1 
und 
33 m x 
5m Cer 3 — 2x) 
—4 
ax n 
mx" 
3 — 5x 7 — 3x """ b-i-cx 
13m — 7x 4m — x m-1-p 
—}— — 
in -+- p m — p m — p 
3abc (2a + b) b-x^ a»b* 
a+b a (a -f- b) 2 
p + qx * 
kx. 
bx 
(a + b) 3 = 3cx -+~ T* 
B. Gleichungen mit zwei Unbekannten, 
x -1- y = 311 ; x — y = 83; und x + y= a; x — y=b. 
5x + -f-y=131^-; 13x-y=142-i-, 
6-1-x — 14y = 5y + 110 -¡r-; 7x 4- 140 = 2y. 
1 3 
13x — 341 + 7z — 43 — x H- 17 — z; 4x + z = 2. 
9x — 4y; x + y = 26; und ax — by; x ■+■ y = c. 
a x + b y = c ; rax -+- ny = p.
	        
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