Question

Rozwiąż równania z zadania 12

Answer 1

(2 x + 1 ) ( 2 x + 1 ) = 4 x do kwadratu + 9
4x do kwadratu + 4 x + 1 = 4x do kw + 9
4x + 1 = 9 / obustronnie minus 1
4x = 8 / obustronnie dzielimy przez 4
x = 2

(4x + 5) (4x + 5 ) - 5 = 4x (5+ 4x )
16x kwadrat + 40x + 25 - 5 = 20 x + 16x kwadrat
40 x + 20 = 20 x
20 = - 20 x
x = -1

( 1/2 x + 1 ) (1/2 x + 1 ) = 2 + 1/4 x do kw
1/4 x do kw + x + 1 = 2 + 1/4 x do kw
x + 1 = 2
x = 1

(x+ 9) (x+9) - 2 x = x (x+6) - 19
x do kw + 18 x + 81 - 2 x = x do kw + 6x - 19

16 x + 81 = 6 x - 19
10 x = - 19 - 81
10 x = - 100
x = - 10

x(x-6) + 26 = (3 x + 4) (3x+ 4) - 8 x do kw

x do kw - 6x + 26 = 9x do kw + 24 x + 16 - 8 x

- 6x + 26 = 8 x do kw + 16 x + 16
26 = 8 x do kw + 22 x + 16
10 = 8 x do kw + 22 x
wychodzi funkcja kwadratowa
8 x do kw + 22 x - 10

(6-1/2) (6-1/2) - 3 = 1/2 (1/2 x do kw - 6)
36 - 6 + 1/4 - 3 = 1/4 x do kw - 3
30 i 1/4 = 1 / 4 x do kw
121/4 = 1/4 x do kw / obustronnie razy 4
121 = x do kwadratu
x = 11