\"Quadratic equations were totally useless in solving problems necessary to the running of the Roman Empire.\"...

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\"Quadratic equations were totally useless in solving problemsnecessary to the running of the Roman Empire.\" Give arguments forand against this statement

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Babylonian mathematicians as early as 2000 BC displayed on Old Babylonian clay tablets could solve problems relating the areas and sides of rectangles There is evidenced dating this algorithm as far back as the Third Dynasty of Ur In modern notation the problems typically involved solving a pair of simultaneous equations of the form xyp xyq which is equivalent to the statement that xand y are the roots of the equation z2qpz The steps given by Babylonian scribes for solving the above rectangle problem in terms of x and y were as follows Compute half of p Square the result Subtract q Find the positive square root using a table of squares Add together the results of steps 1 and 4 to give x Geometric methods were used to solve quadratic equations in Babylonia Egypt Greece China See Answer

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