Question

Solve the following equation if there is no solution enter no solution 16|h-3| = 8

Answer 1

Question:

Solution:

Consider the following equation:

16 I h-3 I = 8

solving for the absolute value, this is equivalent to:

I h-3I = 8/16

now, simplifying, this is equivalent to:

I h-3I = 1/2

Applying the properties of absolute value, we obtain:

`h-3\text{ = }(1)/(2)\text{ }`

or

`\text{ h-3}=\text{ -}(1)/(2)`

Solving for h in both equations, we obtain the solution:

`h\text{ = }(5)/(2)`

or

`h\text{ = }(7)/(2)`

we can conclude that the solution is: