Площадь зала 45 кв.м. Чему равны его длина и ширина, если длина на 4м больше ширины?
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МатематикаАвтор:
addiegarciaпусть ширина х, тогда
х*(х+4)=45
х²+4х-45=0
D=b²−4ac=4²−4·1·(−45)=16+180=196 D>0, ⇒ 2 различных вещественных корня
х₁=-b+√D/2q=-4+14/2*1=10/2=5
х₂=-b-√D/2q=-4-14/2*1=-18/2=-9
ширина = 5м, длина 5+4=9м
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