Question

|4x+3|= 2Решите пожалуйста​

Answer 1

$\displaystyle\bf\\|4x+3|=2\\\\\left[\begin{array}{ccc}4x+3=2\\4x+3=-2\end{array}\right\\\\\\\left[\begin{array}{ccc}4x=-1\\4x=-5\end{array}\right\\\\\\\left[\begin{array}{ccc}x_{1}=-0,25 \\x_{2} =-1,25\end{array}\right$

Answer 2

Solving the Equation |4x+3|=2

To solve the equation |4x+3|=2, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: 4x+3 is positive When 4x+3 is positive, the equation becomes: 4x+3 = 2

Solving for x: 4x = 2 - 3 4x = -1 x = -1/4

Case 2: 4x+3 is negative When 4x+3 is negative, the equation becomes: -(4x+3) = 2

Solving for x: -4x - 3 = 2 -4x = 2 + 3 -4x = 5 x = -5/4

Therefore, the solutions to the equation |4x+3|=2 are x = -1/4 and x = -5/4.

I hope this helps! If you have any further questions, feel free to ask.