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Катя1200
@Катя1200
August 2022
1
5
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Срочно !Решите уравнения:
1) ( x-1 ) ( x-3) = (x-2) ( x-4)
2) (x+12)^2= x(x+8)
3) ( x-3) (x+1)= (x-2)^2
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nafanya2014
Verified answer
1) ( x-1 ) ( x-3) = (x-2) ( x-4)
x²-x-3x+3=x²-2x-4x+8
-4x+3=-6x+8
-4x+6x=8-3
2x=5
x=2,5
2) (x+12)²= x(x+8)
x²+24x+144=x²+8x
24x-8x=-144
16x=-144
x=-9
3) ( x-3) (x+1)= (x-2)²
x²-3x+x-3=x²-4x+4
-2x-3=-4x+4
-2x+4x=4+3
2x=7
x=3,5
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Answers & Comments
Verified answer
1) ( x-1 ) ( x-3) = (x-2) ( x-4)x²-x-3x+3=x²-2x-4x+8
-4x+3=-6x+8
-4x+6x=8-3
2x=5
x=2,5
2) (x+12)²= x(x+8)
x²+24x+144=x²+8x
24x-8x=-144
16x=-144
x=-9
3) ( x-3) (x+1)= (x-2)²
x²-3x+x-3=x²-4x+4
-2x-3=-4x+4
-2x+4x=4+3
2x=7
x=3,5