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

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

Solve for x: (2+x)/((x+1))=1+sqrt(3)

The solution is x= 1/(sqrt(3))-1

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\frac{2 + x}{( x + 1 )} = 1 + 3

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

Decimal Notation

x = - 0.42264 \dots

Solution steps

\frac{2 + x}{( x + 1 )} = 1 + 3

Simplify

\frac{2 + x}{( x + 1 )} : \frac{2 + x}{x + 1}

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

Multiply both sides by

x + 1

2 + x = x + 1 + 3 (x + 1)

Subtract

x

from both sides

2 + x - x = x + 1 + 3 (x + 1) - x

Simplify

2 = 1 + 3 (x + 1)

Switch sides

1 + 3 (x + 1) = 2

Move

1

to the right side

3 (x + 1) = 1

Divide both sides by

3

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

Move

1

to the right side

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

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

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

\frac{14}{( n + 7 )} = \frac{10}{( n - 4 )}

1.8 = \frac{x}{( 1 - x ) \cdot 55.5}

\frac{- 1.2}{x + 7} = 7.24

[- x^{- 2} + 9 (8 - x)^{- 2}] = 0

\frac{2}{( 3 x - 1 )} + \frac{3}{( 2 x - 1 )} = 0

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