What is the answer to sqrt(x^2-3x+3)=x-1 ?

The answer to sqrt(x^2-3x+3)=x-1 is x=2

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

x^{2} - 3 x + 3 = x - 1

x = 2

Solution steps

x^{2} - 3 x + 3 = x - 1

Square both sides:

x^{2} - 3 x + 3 = x^{2} - 2 x + 1

x^{2} - 3 x + 3 = x^{2} - 2 x + 1

Solve

x^{2} - 3 x + 3 = x^{2} - 2 x + 1 : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

x + 2 x - 4 = 2

x + 4 - 2 x + 12 = 0

G (x) = x + 1

x - 2 = - x + 2

x + 3 x + 10 = 6

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