The solution set of |x-1| + |x+5| =6 is? (solve this by plotting on a number line)
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Step-by-step explanation:
|x - 1| + |x + 5| = 6
(x - 1)² + (x + 5)² = 6²
x² - 2x + 1 + x² + 10x + 25 = 36
2x² + 8x + 26 - 36 = 0
2x² + 8x - 10 = 0
x² + 4x - 5 = 0
(x + 5)(x - 1) = 0
the solution is x¹ = -5 and x² = 1
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