What is the answer to sqrt(x^2-2x+1)=5+2x ?

The answer to sqrt(x^2-2x+1)=5+2x is x=-4/3

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sqrt(x^2-2x+1)=5+2x

x^{2} - 2 x + 1 = 5 + 2 x

x = - \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots

Solution steps

x^{2} - 2 x + 1 = 5 + 2 x

Square both sides:

x^{2} - 2 x + 1 = 25 + 20 x + 4 x^{2}

x^{2} - 2 x + 1 = 25 + 20 x + 4 x^{2}

Solve

x^{2} - 2 x + 1 = 25 + 20 x + 4 x^{2} : x = - 6, x = - \frac{4}{3}

x = - 6, x = - \frac{4}{3}

Verify Solutions:

x = - 6

False

, x = - \frac{4}{3}

True

The solution is

x = - \frac{4}{3}

5 = 12 - 14 - 5 x

\frac{1}{3 x ^{8.3} + 2} = 27

x^{2} + 16 = 25

\frac{3 x}{2} = 3

x, f (x - 1) = x - 4 + 8

What is the answer to sqrt(x^2-2x+1)=5+2x ?
The answer to sqrt(x^2-2x+1)=5+2x is x=-4/3
Solve for x: sqrt(x^2-2x+1)=5+2x
The solution is x=-4/3