What is the answer to sqrt(x+4)-4x=1 ?

The answer to sqrt(x+4)-4x=1 is x=(-7+sqrt(241))/(32)

Solve for x: sqrt(x+4)-4x=1

The solution is x=(-7+sqrt(241))/(32)

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x + 4 - 4 x = 1

x = \frac{- 7 + 241}{32}

Decimal Notation

x = 0.26638 \dots

Solution steps

x + 4 - 4 x = 1

Remove square roots

x + 4 = 1 + 8 x + 16 x^{2}

Solve

x + 4 = 1 + 8 x + 16 x^{2} : x = \frac{- 7 + 241}{32}, x = \frac{- 7 - 241}{32}

x = \frac{- 7 + 241}{32}, x = \frac{- 7 - 241}{32}

Verify Solutions:

x = \frac{- 7 + 241}{32}

True

, x = \frac{- 7 - 241}{32}

False

The solution is

x = \frac{- 7 + 241}{32}

5 x + 39 - x + 31 = 2

(x + 4)^{\frac{4}{3}} = 81

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

2 x^{2} + 10 = 6 x

9 x = 0

What is the answer to sqrt(x+4)-4x=1 ?
The answer to sqrt(x+4)-4x=1 is x=(-7+sqrt(241))/(32)
Solve for x: sqrt(x+4)-4x=1
The solution is x=(-7+sqrt(241))/(32)