Question

|2х +10| =8........ ​

Answer 1

Ответ:

|2х +10| =8

Решаем 1 часть

2x+10≥0

(2x+10)-8=0

2x+2=0

x₁=1

Решаем 2 часть

2x+10<0

(-2x-10)-8=0

-2x-18=0

x₂=-9

Ответ в частности Равен

x₁=1 x₂=-9

Пошаговое объяснение:

Answer 2

To solve the equation |2x + 10| = 8, you'll need to consider two cases: when the expression inside the absolute value is positive and when it's negative.

Case 1: 2x + 10 is positive: In this case, you can rewrite the equation as:

2x + 10 = 8

Now, subtract 10 from both sides of the equation:

2x = 8 - 10 2x = -2

Divide both sides by 2 to isolate x:

x = -2 / 2 x = -1

So, for this case, x = -1 is a valid solution.

Case 2: 2x + 10 is negative: In this case, you need to consider the negation of the expression inside the absolute value:

-(2x + 10) = 8

Now, distribute the negative sign to both terms inside the parentheses:

-2x - 10 = 8

Add 10 to both sides of the equation:

-2x = 8 + 10 -2x = 18

Divide both sides by -2:

x = 18 / -2 x = -9

So, for this case, x = -9 is a valid solution.

Therefore, the equation |2x + 10| = 8 has two solutions: x = -1 and x = -9.