Find the maximum value of the function y = |√ X & # 178; + 4x + 13 - √ X & # 178; - 2x + 5 | and X at this time | Math enthusiast | Mathematical art

Find the maximum value of the function y = |√ X & # 178; + 4x + 13 - √ X & # 178; - 2x + 5 | and X at this time

y=|√(x+2)²+3² -√(x-1)²+2²|
Y can be regarded as the absolute value of the distance difference from point P (0, x) to point a (- 2,3) and point B (1,2)
From the principle of the shortest line between two points, it is obvious that there is y

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