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:

$h-3\text{ = }\frac{1}{2}\text{ }$

or

$\text{ h-3}=\text{ -}\frac{1}{2}$

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

$h\text{ = }\frac{5}{2}$

or

$h\text{ = }\frac{7}{2}$

we can conclude that the solution is: