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

The answer to x+1/x =3,sqrt(x)+1/((sqrt(x))) is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2

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

The solution is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2

Popular >

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

x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Decimal Notation

x = 2.61803 \dots, x = 0.38196 \dots

Solution steps

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

Multiply both sides by

x

x^{2} + 1 = 3 x

Solve

x^{2} + 1 = 3 x : x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

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

\frac{27}{3 ( p + 120 )} = \frac{37}{9 ( p - 20 )}

x, ff = \frac{3}{x ^{2}}

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

\frac{6}{x} - \frac{1}{4} = - \frac{1}{2}

What is the answer to x+1/x =3,sqrt(x)+1/((sqrt(x))) ?
The answer to x+1/x =3,sqrt(x)+1/((sqrt(x))) is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2
Solve for x: x+1/x =3,sqrt(x)+1/((sqrt(x)))
The solution is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2