Question - Absolute Value Equation Solution
Solution:
The given equation is an absolute value equation. Recall that if |x| = a, then x can either be a or -a. Let's apply this property to find all values of c.We have |c - 20| = 45.This leads to two possible cases:1. c - 20 = 452. c - 20 = -45Solving both cases:For case 1:c - 20 = 45c = 45 + 20c = 65For case 2:c - 20 = -45c = -45 + 20c = -25Thus, the two solutions for c are c = 65 and c = -25.
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