exam Maths Puzzle Numerical Ability

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?

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exam Other Question

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. What is the area defined by the following graphs:
|x|+|y| is greater than or equal to 2 and |x|+|y| is less than or equal to 5