Question

СРОЧНО РЕШИТЕ НА ЛИСТКЕ 4 БАЛЛОВ

5(x-1)^2-2(x+3)^2=3(x+2)^2-7(6x-1)

Answer 1

Ответ:

$x = 4$

Объяснение:

$5 ({x - 1})^{2} - 2 ({x + 3})^{2} = 3 ({x + 2})^{2} - 7(6x - 1) \\ 5 ({x}^{2} - 2x + 1) - 2( {x}^{2} + 6x + 9) = 3( {x}^{2} + 4x + 4) - 42x + 7 \\ 5 {x}^{2} - 10x + 5 - 2 {x}^{2} - 12x - 18 = 3 {x}^{2} + 12x + 12 + 12 - 42x + 7 \\ 3 {x}^{2} - 22x - 13 = 3 {x}^{2} - 30x + 19 \\ - 22x - 13 = - 30x + 19 \\ - 22x + 30x = 19 + 13 \\ 8x = 32 \\ x = 32 \div 8 \\ x = 4$