What is the answer to sqrt(16x^2+2)=4x+1 ?

The answer to sqrt(16x^2+2)=4x+1 is x= 1/8

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sqrt(16x^2+2)=4x+1

16 x^{2} + 2 = 4 x + 1

x = \frac{1}{8}

Decimal Notation

x = 0.125

Solution steps

16 x^{2} + 2 = 4 x + 1

Square both sides:

16 x^{2} + 2 = 16 x^{2} + 8 x + 1

16 x^{2} + 2 = 16 x^{2} + 8 x + 1

Solve

16 x^{2} + 2 = 16 x^{2} + 8 x + 1 : x = \frac{1}{8}

x = \frac{1}{8}

Verify Solutions:

x = \frac{1}{8}

True

The solution is

x = \frac{1}{8}

2 x + 36 + 6 = x

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

x 8 x + 1 = 5

x - 4 = 1

What is the answer to sqrt(16x^2+2)=4x+1 ?
The answer to sqrt(16x^2+2)=4x+1 is x= 1/8
Solve for x: sqrt(16x^2+2)=4x+1
The solution is x= 1/8