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regina10000000000
@regina10000000000
July 2022
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Выделив полный квадрат, разложите на множители.
1. 14+4x-x^2
2. 16-6x-x^2
3. -x^2+6x+7
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sergpiv
Verified answer
1) 14+4x-x²=-(x²-4x-14)=-((x-2)²-18)=18-(x-2)²=(2√3-x+2)(2√3+x-2)
2) 16-6x-x²=-(x²+6x-16)=-((x+3)²-25)=25-(x+3)²=(5-x-3)(5+x+3)=(2-x)(8+x)
3) -x²+6x+7=-(x²-6x-7)=-((x-3)²-16)=16-(x-3)²=(4-x+3)(4+x-3)=(7-x)(1+x)
2 votes
Thanks 1
regina10000000000
Спасибо огромное. Вы мне очень помогли.
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Answers & Comments
Verified answer
1) 14+4x-x²=-(x²-4x-14)=-((x-2)²-18)=18-(x-2)²=(2√3-x+2)(2√3+x-2)2) 16-6x-x²=-(x²+6x-16)=-((x+3)²-25)=25-(x+3)²=(5-x-3)(5+x+3)=(2-x)(8+x)
3) -x²+6x+7=-(x²-6x-7)=-((x-3)²-16)=16-(x-3)²=(4-x+3)(4+x-3)=(7-x)(1+x)