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OloloshaOloloeva
@OloloshaOloloeva
July 2022
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Найдите корни уравнения:
1)6х=|х²+8х-8|
2)|х²-х+3|=х+2
3)х-1=|6х²+2х-2|
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izel
1)6x=[x(x+8)-8
6x=√(x²+8x-8)²
x=2
x= √57-7
2)[(x-1)x+3]=x+2
[x²-x+3]-3=2
x²-x+3=x+2
√(x²-x+3)²=x+2
x=1
3)x-1=2[3x²+x-1]
x=2[3x²+x-1]+1
x-2[3x²+x-1]=1
x-1=√(6x²+2x-2)²
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Answers & Comments
6x=√(x²+8x-8)²
x=2
x= √57-7
2)[(x-1)x+3]=x+2
[x²-x+3]-3=2
x²-x+3=x+2
√(x²-x+3)²=x+2
x=1
3)x-1=2[3x²+x-1]
x=2[3x²+x-1]+1
x-2[3x²+x-1]=1
x-1=√(6x²+2x-2)²