What is the answer to sqrt(x^2-2x+1)=9-x ?

The answer to sqrt(x^2-2x+1)=9-x is x=5

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sqrt(x^2-2x+1)=9-x

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

x = 5

Solution steps

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

Square both sides:

x^{2} - 2 x + 1 = 81 - 18 x + x^{2}

x^{2} - 2 x + 1 = 81 - 18 x + x^{2}

Solve

x^{2} - 2 x + 1 = 81 - 18 x + x^{2} : x = 5

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

x + 8 = x - 4

16 - x^{2} - x = - 4

7 x + x = 0

2 x + x = 0

2 x + 31 = x + 4

What is the answer to sqrt(x^2-2x+1)=9-x ?
The answer to sqrt(x^2-2x+1)=9-x is x=5
Solve for x: sqrt(x^2-2x+1)=9-x
The solution is x=5