What is the max magnification possible when using a lens, Other Subject

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What is the max magnification possible when using a lens

What is the max magnification possible?

When using a lens with f=75mm or 7.5cm with a restricted space length of 40cm?

Show step by step. please

HINT: 1st) You must find the position of the lens to achieve this max.magnification.

Hint: The object is place at x= 0 cm

The image should be at x=40 cm

Hence Si+So=40 cm

You will need to solve a quadratic equation.

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