Օլիմպիադայի առաջադրանքներ

4.

x + y + z = 12

x + y + z = 48

3x – 2y – z = ?

 =  =  = 4

 =  = 4

4 = 4 =>  x = y = z = 4

3x – 2y – z = O

6.

x+ 2x– 4x + 1 = 0

x+ x + x – ?

x+ x + x = -2

x+ x+  x+ x +  x+ x = -4

( x+ x + x) =  x+ x + x + 2 (x+ x+  x+ x +  x+ x)

= (-2) = 4

x+ x + x+ 2 (-4) = 4

x+ x + x = 12

7.

2*10

2*5 և 5*2

4*5

2 + C  = 2 +  = 2 +  = 2 + 21 = 23

8.

BC = AB+ AC –  2AB AC * cos A

196 = 100 + 256 – 2*160 * cos A =  => A = 60=> անկ․ BEC = 180– 60 = 120=> անկ․ EBC = = 30

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