What is the answer to sqrt(x+2)-4x=3 ?

The answer to sqrt(x+2)-4x=3 is x=-7/16

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sqrt(x+2)-4x=3

x + 2 - 4 x = 3

x = - \frac{7}{16}

Decimal Notation

x = - 0.4375

Solution steps

x + 2 - 4 x = 3

Remove square roots

x + 2 = 9 + 24 x + 16 x^{2}

Solve

x + 2 = 9 + 24 x + 16 x^{2} : x = - \frac{7}{16}, x = - 1

x = - \frac{7}{16}, x = - 1

Verify Solutions:

x = - \frac{7}{16}

True

, x = - 1

False

The solution is

x = - \frac{7}{16}

\frac{3 x - 2}{2 x - 1} = 0

x + 3 = 9 - x^{2}

2 = \frac{x}{5000}

x - 8378 = 22739

6 - x = 0