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Dynamic
Is is possible to solve this equation algebraically and how would I do it if so?
The equation is:
4*h^2 =
sqrt((h^2 - 400)*(14400 - h^2))
+ sqrt((h^2 - 400)*(6400 - h^2))
+ sqrt((h + 30 + 10*sqrt(33))*(h + 30 - 10*sqrt(33))*(h - 30 + 10*sqrt(33))*(-h + 30 + 10*sqrt(33)))
+ sqrt((h + 70 + 10*sqrt(33))*(h + 70 - 10*sqrt(33))*(h - 70 + 10*sqrt(33))*(-h + 70 + 10*sqrt(33)))
Is it possible to solve this equation algebraically? I've tried to get rid of the radical signs by various rearranging and squaring both sides, but by the time all of the radicals are gone the exponent on h is impossibly high.
By using a graphing program, I know that there is a solution around h=70ish.
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Thanks.
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1 AnswerLyrics1 decade ago