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If-b-and-h-are-two-integers-with-b-gt-h-and-b-2-h-2-b-a-h-ah-find-the-value-of-b-




Question Number 152692 by ZiYangLee last updated on 31/Aug/21
If b and h are two integers with b>h,  and b^2 +h^2 =b(a+h)+ah,  find the value of b.
$$\mathrm{If}\:{b}\:\mathrm{and}\:{h}\:\mathrm{are}\:\mathrm{two}\:\mathrm{integers}\:\mathrm{with}\:{b}>{h}, \\ $$$$\mathrm{and}\:{b}^{\mathrm{2}} +{h}^{\mathrm{2}} ={b}\left({a}+{h}\right)+{ah}, \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{b}. \\ $$

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