Question

Модуль 7x+1=2......................................

Answer 1

$|7x + 1| = 2 \\ \\ 7x + 1 = 2 \\ 7x + 1 = - 2 \\ \\ 7x = 1 \\ 7x = - 3 \\ \\ x = \frac{1}{7} \\ x = - \frac{3}{7}$
Ответ: -3/7; 1/7.

Answer 2

|7x+1|=2

[7x+1=2
[7x+1=-2


1)7x+1=2
7x=1
x=1/7

2)7x+1=-2
7x=-3
x=-3/7

ответ -3/7;1/7

Answer 3

It appears that you've provided an incomplete equation: "Модуль 7x+1=2." However, it seems like you might be referring to an equation involving a modulus (absolute value) function. Let me clarify and solve the equation for you.

The equation can be written as:

|7x + 1| = 2

To solve for 'x', we'll consider two cases since the modulus function can yield two different results based on the value inside the modulus:

Case 1: (7x + 1) = 2 Solving for 'x' in this case: 7x + 1 = 2 Subtract 1 from both sides: 7x = 2 - 1 7x = 1 Divide by 7: x = 1/7

Case 2: -(7x + 1) = 2 Solving for 'x' in this case: -7x - 1 = 2 Add 1 to both sides: -7x = 2 + 1 -7x = 3 Divide by -7: x = 3/-7 x = -3/7

So the solutions for the equation |7x + 1| = 2 are x = 1/7 and x = -3/7.