The solutions for the absolute value problem 3 = -2|¹/₄s - 5| + 3 is; s = 20
We are given the absolute value equation as;
3 = -2|¹/₄s - 5| + 3
First, subtract 3 from each side of the equation to isolate the absolute value term while keeping the equation balanced to get:
0 = -2|¹/₄s - 5|
Next, divide each side of the equation by -2 to isolate the absolute value function while keeping the equation balanced to get:
0 = |¹/₄s - 5|
The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent. However, because −0 equals 0 we can just solve the term within the absolute value function once for 0:
¹/₄s - 5 = 0
s = 20
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