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Solve x|x|+7x-8=0...

Solve `x|x|+7x-8=0`

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To solve the equation \( x|x| + 7x - 8 = 0 \), we will consider two cases based on the definition of the absolute value function. ### Step 1: Identify Cases for \( |x| \) Since the equation involves \( |x| \), we will consider two cases: 1. Case 1: \( x \geq 0 \) (where \( |x| = x \)) 2. Case 2: \( x < 0 \) (where \( |x| = -x \)) ...
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