What is the answer to 2/x =x-43 ?

The answer to 2/x =x-43 is x=(43+sqrt(1857))/2 ,x=(43-sqrt(1857))/2

Solve for x: 2/x =x-43

The solution is x=(43+sqrt(1857))/2 ,x=(43-sqrt(1857))/2

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\frac{2}{x} = x - 43

x = \frac{43 + 1857}{2}, x = \frac{43 - 1857}{2}

Decimal Notation

x = 43.04646 \dots, x = - 0.04646 \dots

Solution steps

\frac{2}{x} = x - 43

Multiply both sides by

x

2 = x^{2} - 43 x

Solve

2 = x^{2} - 43 x : x = \frac{43 + 1857}{2}, x = \frac{43 - 1857}{2}

x = \frac{43 + 1857}{2}, x = \frac{43 - 1857}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{43 + 1857}{2}, x = \frac{43 - 1857}{2}

\frac{( 2 x - 6 )}{( x - 3 )} = 14 - x

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

\frac{5}{9 x} = 1

8 - \frac{13}{x} = 4 + \frac{3}{x}

\frac{3}{x + 2} + 1 = 0

What is the answer to 2/x =x-43 ?
The answer to 2/x =x-43 is x=(43+sqrt(1857))/2 ,x=(43-sqrt(1857))/2
Solve for x: 2/x =x-43
The solution is x=(43+sqrt(1857))/2 ,x=(43-sqrt(1857))/2