What is the answer to solvefor x,x+1/x =4 ?

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

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solvefor x,x+1/x =4

solve for

x, x + \frac{1}{x} = 4

x = 2 + 3, x = 2 - 3

Decimal Notation

x = 3.73205 \dots, x = 0.26794 \dots

Solution steps

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

Multiply both sides by

x

x^{2} + 1 = 4 x

Solve

x^{2} + 1 = 4 x : x = 2 + 3, x = 2 - 3

x = 2 + 3, x = 2 - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2 + 3, x = 2 - 3

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

\frac{- 13}{4 x} = 39

\frac{1}{( s ^{2} + k ^{2} ) ^{2}} = 0

\frac{5 x - 4}{5 x - 4} = \frac{2}{3}

x, x + \frac{1}{x} = y

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