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18.03.2013

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1. a bc (a, bZ; cZ+).

, , a bc (a, bZ; cZ+). , a bc . a, b, c - , . , a, b, c - "" ?

a bc a 2d ( d = 1/4b2c).

, a 2d = (x1 x2)2, x1 x2 x2 - ax + d = 0.

, , .


:

37 - 548.

: : 37 - 2300 :

x2 - 37x + 300 = 0.

, x1 = 25; x2 = 12.

37 - 548 = (25 - 12)2 = 5 - 23.

: 5 - 23.


, . , .


2. ab 3a 3b (a, bR).

x, . :

ab = x;

(√ab)2 = x2;

a 2√ab + b = x2. (*)

, , √ab . (*) . .

.


:

3 + 8 - 3 - 8.

3 + 8 - 3 - 8 = x;

(3 + 8 - 3 - 8)2 = x2;

3 + 8 - 2 (3 - 8)(3 + 8) + 3 - 8 = x2;

6 - 29 - 8 = x2;

4 = x2;

x = 2 (.. ).

: 2.



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