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OloloshaOloloeva
@OloloshaOloloeva
July 2021
1
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Выделите квадрат двучлена из квадратного трехчлена:
а)х2-6х+14
б)х2+8х-2
в)3х2-12х-5
г)0.5х2+3х+7
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nmariya
А) х^2-2*х*3+3^2+5= (х-3)^2+5
б) х^2+2*х*4+4^2-18= (х+4)^2-18
в) 3*(х^2-4х-5/3)= 3*(х^2-2*х*2+2^2 -17/4)= 3*((х-2)^2-17/4)= 3*(х-2)^2-51/4
г) 0.5*(х^2+6х+14)= 0.5*(х^2+2*х*3+3^2+5)= 0.5*(х+3)^2 + 2.5
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Answers & Comments
б) х^2+2*х*4+4^2-18= (х+4)^2-18
в) 3*(х^2-4х-5/3)= 3*(х^2-2*х*2+2^2 -17/4)= 3*((х-2)^2-17/4)= 3*(х-2)^2-51/4
г) 0.5*(х^2+6х+14)= 0.5*(х^2+2*х*3+3^2+5)= 0.5*(х+3)^2 + 2.5