Question

Rozwiaz rownania: 1/4 x - 3x-1/2=5/6(x-4)-1 (2x-1)^2-(3x+4)^2=5x(x+8) 5(3-2x)+2x^2=4x(x-3)-2^2+2sx

Answer 1

1/4 x - 3 x - 1/2 = 5/6 ( x - 4 ) - 1

1/4 x - 3 x -1/2 = 5/6 x - 3 i 1/3

1/4 x - 3 x - 5/6 x = 2 i 2/3 + 1/2

2 i 1/12 x = 3 i 1/6   /  : 2 i 1/12

x = 2 i 8/15

 

( 2 x - 1 ) ^ 2 - (3 x + 4 ) ^ 2 = 5 x ( x + 8 )

4 x ^ 2 - 4 x + 1 - ( 9 x + 24 x + 16 ) = 5 x ^ 2 + 40

4 x ^ 2 - 4 x + 1 - 9 x - 24 x - 16 = 5 x ^ 2 + 40

4 x ^ 2 - 4 x - 9 x - 24 x - 5 x ^ 2 = 40 + 16 -1

x ^ 2 - 37 x = 55

 

5 ( 3 - 2 x ) + 2 x ^ 2  = 4 x ( x - 3 ) - 2 ^ 2 + 2 x

15 - 10 x +2 x ^ 2 = 4 x ^ 2 - 12 x - 2 x ^ 2 + 2 x

- 10 x + 2 x ^ 2 - 4 x ^ 2 + 12 x - 2 x ^ 2 - 2 x = - 15

- 4 x ^ 2 = - 15