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If (x-1)^2=(x-2)^2, then x=
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Updated on: 03 Jan 2024, 04:36
Updated on: 03 Jan 2024, 04:36
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If \((x-1)^2=(x-2)^2\), then \(x=\)
A. -5/8
B. 5/3
C. 4/3
D. 3/2
E. 5/2
A. -5/8
B. 5/3
C. 4/3
D. 3/2
E. 5/2
Re: If (x-1)^2=(x-2)^2, then x=
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12 Dec 2020, 08:13
12 Dec 2020, 08:13
2
(x-1)^2 = (x-2)^2
Factoring each side, we get
x^2-2x+1= x^2-4x+4 subtract (x^2) for both side
-2x+1=-4x+4 add +4x for both sides and subtract 1
2x= 3 ==> x= 3/2.
and it is true that (3/2-1)^2 = (3/2-2)^2
0.5^2 = -0.5^2
Factoring each side, we get
x^2-2x+1= x^2-4x+4 subtract (x^2) for both side
-2x+1=-4x+4 add +4x for both sides and subtract 1
2x= 3 ==> x= 3/2.
and it is true that (3/2-1)^2 = (3/2-2)^2
0.5^2 = -0.5^2
