What is the answer to (6x+19)/(2x)=x+2/5 ?

The answer to (6x+19)/(2x)=x+2/5 is x=(13+sqrt(1119))/(10),x=(13-sqrt(1119))/(10)

Solve for x: (6x+19)/(2x)=x+2/5

The solution is x=(13+sqrt(1119))/(10),x=(13-sqrt(1119))/(10)

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\frac{6 x + 19}{2 x} = x + \frac{2}{5}

x = \frac{13 + 1119}{10}, x = \frac{13 - 1119}{10}

Decimal Notation

x = 4.64514 \dots, x = - 2.04514 \dots

Solution steps

\frac{6 x + 19}{2 x} = x + \frac{2}{5}

Multiply both sides by

x

\frac{6 x + 19}{2} = x^{2} + \frac{2}{5} x

Solve

\frac{6 x + 19}{2} = x^{2} + \frac{2}{5} x : x = \frac{13 + 1119}{10}, x = \frac{13 - 1119}{10}

x = \frac{13 + 1119}{10}, x = \frac{13 - 1119}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{13 + 1119}{10}, x = \frac{13 - 1119}{10}

\frac{1}{p} = \frac{2}{4}

g = \frac{x - c}{x}, x

\frac{1}{x} = 9

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

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

What is the answer to (6x+19)/(2x)=x+2/5 ?
The answer to (6x+19)/(2x)=x+2/5 is x=(13+sqrt(1119))/(10),x=(13-sqrt(1119))/(10)
Solve for x: (6x+19)/(2x)=x+2/5
The solution is x=(13+sqrt(1119))/(10),x=(13-sqrt(1119))/(10)