|2x-3|=5

Absolute value

x = 4, x = - 1

Step-by-step explanation:

The absolute value always gives a positive result, however, the expression inside can be positive or negative, that is

2x - 3 = 5 or - (2x - 3) = 5

Solving both

2x - 3 = 5 ( add 3 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

or

- (2x - 3) = 5

- 2x + 3 = 5 ( subtract 3 from both sides )

- 2x = 2 ( divide both sides by - 2 )

x = - 1

As a check

| 2(4) - 3 | = | 8 - 3 | = | 5 | = 5 ← True

| 2(- 1) - 3 | = | - 2 - 3 | = | - 5 | = 5 ← True

Thus the solutions are x = 4, x = - 1

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1