Question

(4х-1)(2х+1)=02|х|+3=0

Answer 1

4x-1=0
4x=1
x=1÷4
x=0,25
2x+1=0
2x=-1
x=-0,5
т.е. уравнение имеет 2 решения
2x+3=0
2x=-3
x=-1.5

Answer 2

To solve the equation (4x-1)(2x+1) = |x| + 3 = 0, we need to find the values of x that satisfy the equation. Let's break it down step by step.

Step 1: Solve the quadratic equation (4x-1)(2x+1) = 0 To do this, set each factor equal to zero and solve for x:

1. Set 4x - 1 = 0: 4x = 1 x = 1/4

2. Set 2x + 1 = 0: 2x = -1 x = -1/2

Step 2: Solve the absolute value equation |x| + 3 = 0 An absolute value can never be negative, so there are no solutions to this equation. The absolute value of any real number is always greater than or equal to zero.

Step 3: Combine the solutions from Step 1 and Step 2 The solutions to the original equation are the solutions obtained from solving the quadratic equation:

x = 1/4 and x = -1/2

So, the solutions to the equation (4x-1)(2x+1) = |x| + 3 = 0 are x = 1/4 and x = -1/2.