What is the answer to 4/(x-30)+(16)/x =48 ?

The answer to 4/(x-30)+(16)/x =48 is x=(365+sqrt(127465))/(24),x=(365-sqrt(127465))/(24)

Solve for x: 4/(x-30)+(16)/x =48

The solution is x=(365+sqrt(127465))/(24),x=(365-sqrt(127465))/(24)

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\frac{4}{x - 30} + \frac{16}{x} = 48

x = \frac{365 + 127465}{24}, x = \frac{365 - 127465}{24}

Decimal Notation

x = 30.08426 \dots, x = 0.33239 \dots

Solution steps

\frac{4}{x - 30} + \frac{16}{x} = 48

Multiply by LCM

4 x + 16 (x - 30) = 48 x (x - 30)

Solve

4 x + 16 (x - 30) = 48 x (x - 30) : x = \frac{365 + 127465}{24}, x = \frac{365 - 127465}{24}

x = \frac{365 + 127465}{24}, x = \frac{365 - 127465}{24}

Verify Solutions

Find undefined (singularity) points:

x = 30, x = 0

Combine undefined points with solutions:

x = \frac{365 + 127465}{24}, x = \frac{365 - 127465}{24}

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

\frac{10}{x} = \frac{10 x}{9}

x, \frac{a x + b}{c x + d} = 5

a (2 - (- \frac{1}{a}))^{2} = 1

a, u = \frac{k}{2 a}

What is the answer to 4/(x-30)+(16)/x =48 ?
The answer to 4/(x-30)+(16)/x =48 is x=(365+sqrt(127465))/(24),x=(365-sqrt(127465))/(24)
Solve for x: 4/(x-30)+(16)/x =48
The solution is x=(365+sqrt(127465))/(24),x=(365-sqrt(127465))/(24)