What is the answer to sqrt(x^2-2x+4)=2x-2 ?

The answer to sqrt(x^2-2x+4)=2x-2 is x=2

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sqrt(x^2-2x+4)=2x-2

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

x = 2

Solution steps

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

Square both sides:

x^{2} - 2 x + 4 = 4 x^{2} - 8 x + 4

x^{2} - 2 x + 4 = 4 x^{2} - 8 x + 4

Solve

x^{2} - 2 x + 4 = 4 x^{2} - 8 x + 4 : x = 0, x = 2

x = 0, x = 2

Verify Solutions:

x = 0

False

, x = 2

True

The solution is

x = 2

45 = 5 (- 1 - 7 p)^{\frac{2}{3}}

- 4 x - 3 = 12

8 x = 100 + 100 x

x^{2} - 2 2 x + 2 = 0

What is the answer to sqrt(x^2-2x+4)=2x-2 ?
The answer to sqrt(x^2-2x+4)=2x-2 is x=2
Solve for x: sqrt(x^2-2x+4)=2x-2
The solution is x=2