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Popular >

(x-1)^2=(x-3)^2

Solution

(x - 1)^{2} = (x - 3)^{2}

Solution

x = 2

Solution steps

(x - 1)^{2} = (x - 3)^{2}

Expand

(x - 1)^{2} : x^{2} - 2 x + 1

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

x^{2} - 2 x + 1 = x^{2} - 6 x + 9

Move

1

to the right side

x^{2} - 2 x = x^{2} - 6 x + 8

Subtract

x^{2} - 6 x

from both sides

x^{2} - 2 x - (x^{2} - 6 x) = x^{2} - 6 x + 8 - (x^{2} - 6 x)

Simplify

4 x = 8

Divide both sides by

4

x = 2

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10 (h + 1) - 4 = 76

Frequently Asked Questions (FAQ)

What is the answer to (x-1)^2=(x-3)^2 ?
The answer to (x-1)^2=(x-3)^2 is x=2
Solve for x: (x-1)^2=(x-3)^2
The solution is x=2