What is the answer to 1/(2x)+x/4 =2 ?

The answer to 1/(2x)+x/4 =2 is x=4+sqrt(14),x=4-sqrt(14)

Solve for x: 1/(2x)+x/4 =2

The solution is x=4+sqrt(14),x=4-sqrt(14)

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\frac{1}{2 x} + \frac{x}{4} = 2

x = 4 + 14, x = 4 - 14

Decimal Notation

x = 7.74165 \dots, x = 0.25834 \dots

Solution steps

\frac{1}{2 x} + \frac{x}{4} = 2

Multiply by LCM

2 + x^{2} = 8 x

Solve

2 + x^{2} = 8 x : x = 4 + 14, x = 4 - 14

x = 4 + 14, x = 4 - 14

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4 + 14, x = 4 - 14

a (x) = \frac{3 x - 3}{2 x + 3}, a (- 3)

t, n = \frac{p v}{r t}

y^{3} \frac{( 1 - y )}{2 y} = - 16

y, \frac{y}{y - 1} = e^{x}

\frac{10}{15} = \frac{12}{x}

What is the answer to 1/(2x)+x/4 =2 ?
The answer to 1/(2x)+x/4 =2 is x=4+sqrt(14),x=4-sqrt(14)
Solve for x: 1/(2x)+x/4 =2
The solution is x=4+sqrt(14),x=4-sqrt(14)