What is the answer to -4x+1=sqrt(x+3) ?

The answer to -4x+1=sqrt(x+3) is x=(9-sqrt(209))/(32)

Solve for x: -4x+1=sqrt(x+3)

The solution is x=(9-sqrt(209))/(32)

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- 4 x + 1 = x + 3

x = \frac{9 - 209}{32}

Decimal Notation

x = - 0.17052 \dots

Solution steps

- 4 x + 1 = x + 3

Square both sides:

16 x^{2} - 8 x + 1 = x + 3

16 x^{2} - 8 x + 1 = x + 3

Solve

16 x^{2} - 8 x + 1 = x + 3 : x = \frac{9 + 209}{32}, x = \frac{9 - 209}{32}

x = \frac{9 + 209}{32}, x = \frac{9 - 209}{32}

Verify Solutions:

x = \frac{9 + 209}{32}

False

, x = \frac{9 - 209}{32}

True

The solution is

x = \frac{9 - 209}{32}

2 y = 4

y + y - 30 = 0

20.3 = 2 x^{2.5}

2 x - 4 - 2 = 1

2 x = 16

What is the answer to -4x+1=sqrt(x+3) ?
The answer to -4x+1=sqrt(x+3) is x=(9-sqrt(209))/(32)
Solve for x: -4x+1=sqrt(x+3)
The solution is x=(9-sqrt(209))/(32)