exam Maths Puzzle Numerical Ability

A rectangular painting with a width of x centimeters has an area of x^2+50x square centimeters. Find a binomial that represents the length.

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exam Other Question

My question is combination word problem and cost function. I struggle a lot with these. Please assist.
In the following, a cost function is given. Find the average cost per item
prove that the roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)...
are real and equal when a=b=c?