What is the answer to (x^2-46+17)/(2x)=7 ?

The answer to (x^2-46+17)/(2x)=7 is x=7+sqrt(78),x=7-sqrt(78)

Solve for x: (x^2-46+17)/(2x)=7

The solution is x=7+sqrt(78),x=7-sqrt(78)

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\frac{x ^{2} - 46 + 17}{2 x} = 7

x = 7 + 78, x = 7 - 78

Decimal Notation

x = 15.83176 \dots, x = - 1.83176 \dots

Solution steps

\frac{x ^{2} - 46 + 17}{2 x} = 7

Simplify

\frac{x ^{2} - 46 + 17}{2 x} : \frac{x ^{2} - 29}{2 x}

\frac{x ^{2} - 29}{2 x} = 7

Multiply both sides by

x

\frac{x ^{2} - 29}{2} = 7 x

Solve

\frac{x ^{2} - 29}{2} = 7 x : x = 7 + 78, x = 7 - 78

x = 7 + 78, x = 7 - 78

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 7 + 78, x = 7 - 78

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

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

- 3 - \frac{6}{x - 6} = \frac{x}{x - 6}

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

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

What is the answer to (x^2-46+17)/(2x)=7 ?
The answer to (x^2-46+17)/(2x)=7 is x=7+sqrt(78),x=7-sqrt(78)
Solve for x: (x^2-46+17)/(2x)=7
The solution is x=7+sqrt(78),x=7-sqrt(78)