What is the answer to 1/(2sqrt(x+3))=4 ?

The answer to 1/(2sqrt(x+3))=4 is x=-191/64

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1/(2sqrt(x+3))=4

\frac{1}{2 x + 3} = 4

x = - \frac{191}{64}

Decimal Notation

x = - 2.984375

Solution steps

\frac{1}{2 x + 3} = 4

Multiply both sides by

2 x + 3

\frac{1}{2 x + 3} \cdot 2 x + 3 = 4 \cdot 2 x + 3

Simplify

1 = 8 x + 3

Switch sides

8 x + 3 = 1

Divide both sides by

8

x + 3 = \frac{1}{8}

Square both sides:

x + 3 = \frac{1}{64}

x + 3 = \frac{1}{64}

Solve

x + 3 = \frac{1}{64} : x = - \frac{191}{64}

x = - \frac{191}{64}

Verify Solutions:

x = - \frac{191}{64}

True

The solution is

x = - \frac{191}{64}

7 x + 5 = 12

x^{2} + 5 = 0

x^{2} + 5 = 3

6 x + 11 = 9 x + 2

p - 6 = 6 p - 45

What is the answer to 1/(2sqrt(x+3))=4 ?
The answer to 1/(2sqrt(x+3))=4 is x=-191/64
Solve for x: 1/(2sqrt(x+3))=4
The solution is x=-191/64