Question

the equestion (x-2)²+1=2x-3
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Answer 1

x2+4-4x+1=2x-3

x2-4x-2x+5+3=0

x2-6x+8=0

x2-4x-2x+8=0

x(x-4)-2(x-4)=0

(x-4)(x-2)=0

x-4=0 or x-2=0

x=4 or x=2

hope it's clear

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Answer 2

Step-by-step explanation:

x^2 + 4 - 4x +1 = 2x -3

x^2 + 5-4x -2x = -3

x^2-6x = -3-5

x^2-6x +8

x^2-4x -2x +8

x(x -4) -2(x-4)

(x-2) (x-4)

x= 2,4