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

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

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

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

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

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

Square both sides:

x^{2} - 2 x + 1 = 9 x^{2} + 12 x + 4

x^{2} - 2 x + 1 = 9 x^{2} + 12 x + 4

Solve

x^{2} - 2 x + 1 = 9 x^{2} + 12 x + 4 : x = - \frac{3}{2}, x = - \frac{1}{4}

x = - \frac{3}{2}, x = - \frac{1}{4}

Verify Solutions:

x = - \frac{3}{2}

False

, x = - \frac{1}{4}

True

The solution is

x = - \frac{1}{4}

1 - 5 x = 4

3600000 = 0.2 x + 1

4 w - 1 = 6 w - 15

2 x - 2 x + 1 = 1

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