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Игорь3773
@Игорь3773
July 2022
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чему равна сумма корней уравнения (x+2)^2+(x-3)^2=13 ?
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Oniel
(x+2)²+(x-3)²=13
x²+4x+4+x²-6x+9=13
2x²-2x+13=13
2x²-2x=0
2x(x-1)=0 | : 2 ↓
x(x-1)=0
x=0
x-1=0
x=0
x=1
x₁ = 0; x₂ = 1
x1+x2=1
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Игорь3773
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Answers & Comments
x²+4x+4+x²-6x+9=13
2x²-2x+13=13
2x²-2x=0
2x(x-1)=0 | : 2 ↓
x(x-1)=0
x=0
x-1=0
x=0
x=1
x₁ = 0; x₂ = 1
x1+x2=1