Question

|x+3|=3*(4-x) решение

Answer 1

Ответ:

х=9/4

Пошаговое объяснение:

|х+3|=3(4-х)
|х+3|=12-3х
|х+3|+3х=12

х+3+3х=12 ,х+3>або=0

-(х+3)+3х=12, х+3<0

х=9/4 ,х> або= -3

х=15/2 , х<-3

х=9/4

Answer 2

Ответ:

|x+3|=3*(4-x)

|x-3|=3(4-x)

|x+3|=12-3x

|x+3|+3x=12

$x + 3 + 3x = 12.x + 3 \geqslant 0 \\ - (x + 3) + 3x = 12.x + 3 < 0$

$x + 3 + 3x = 12 \\ 4x + 3 = 12 \\ 4x = 12 - 3 \\ 4x = 9 \\ x = \frac{9}{4}$

$x + 3 \geqslant 0 \\ x + 3 - 3 \geqslant 0 - 3 \\ x = 0 - 3 \\ x \geqslant - 3$

$- (x + 3) + 3x = 12 \\ - x - 3 + 3x = 12 \\ 2x - 3 = 12 \\ 2x = 12 + 3 \\ 2x = 15 \\ x = \frac{15}{2}$

$x + 3 < 0 \\ x + 3 - 3 < 0 - 3 \\ x < 0 - 3 \\ x < - 3$

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$x = \frac{9}{4} .x \geqslant - 3 \\ x = \frac{15}{2} .x < - 3$

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$x = \frac{9}{4} \\ x = \frac{15}{2} .x < - 3$

$x = \frac{9}{4} \\ Ø$

$x = \frac{9}{4}$