What is the answer to sqrt(3-8x^2)=2x ?

The answer to sqrt(3-8x^2)=2x is x= 1/2

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sqrt(3-8x^2)=2x

3 - 8 x^{2} = 2 x

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

3 - 8 x^{2} = 2 x

Square both sides:

3 - 8 x^{2} = 4 x^{2}

3 - 8 x^{2} = 4 x^{2}

Solve

3 - 8 x^{2} = 4 x^{2} : x = \frac{1}{2}, x = - \frac{1}{2}

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

Verify Solutions:

x = \frac{1}{2}

True

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

False

The solution is

x = \frac{1}{2}

2 x - 2 x + 3 = 6

x - 10 = x - 1

6 \frac{x}{8} = 18

3 z + 4 = 5