What is the answer to 324=16x+64+(64)/x ?

The answer to 324=16x+64+(64)/x is x=16,x= 1/4

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324=16x+64+(64)/x

324 = 16 x + 64 + \frac{64}{x}

x = 16, x = \frac{1}{4}

Decimal Notation

x = 16, x = 0.25

Solution steps

324 = 16 x + 64 + \frac{64}{x}

Move

64

to the left side

260 = 16 x + \frac{64}{x}

Multiply both sides by

x

260 x = 16 x^{2} + 64

Solve

260 x = 16 x^{2} + 64 : x = 16, x = \frac{1}{4}

x = 16, x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 16, x = \frac{1}{4}

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

\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

What is the answer to 324=16x+64+(64)/x ?
The answer to 324=16x+64+(64)/x is x=16,x= 1/4
Solve for x: 324=16x+64+(64)/x
The solution is x=16,x= 1/4