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Dongcheng yimo mathematics 27
First, simplify the equation

(m+5)x? +(5-2m)x+ 12=0

Listed by Vieta's theorem:

sinA+sinB= - (5-2m)/(m+5)①

sinAsinB= 12 /(m+5)②

Judging from the title, sinB=cosA

That is sin? A+ sin? B= 1 ③

M = (1 1 radical number 2 17)/2 can be obtained from ① ② ③.