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Consider the equation |x| − 8 = a. what value of a would make the equation have only one solution?
Consider the equation |x| − 8 = a. what value of a would make the equation have only one solution?
Final answer:The value of a that makes the equation |x| - 8 = a have a single solution is -8, because only x = 0 satisfies |x| = 0.Explanation:Considering the equation |x| − 8 = a, we need to find the value ofathat would make the equation have only one solution. The absolute value function |x| can have two possible values,xand−x, which means typically there would be two solutions to the equation. However, ifais set to -8, we would have |x| − 8 = -8, which simplifies to |x| = 0. The only value that satisfies this condition isx = 0, hence this is the only case where there is just one solution....
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