What is the answer to (300)/x+8=x-200 ?

The answer to (300)/x+8=x-200 is x=2(52+sqrt(2779)),x=2(52-sqrt(2779))

Solve for x: (300)/x+8=x-200

The solution is x=2(52+sqrt(2779)),x=2(52-sqrt(2779))

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\frac{300}{x} + 8 = x - 200

x = 2 (52 + 2779), x = 2 (52 - 2779)

Decimal Notation

x = 209.43244 \dots, x = - 1.43244 \dots

Solution steps

\frac{300}{x} + 8 = x - 200

Move

8

to the right side

\frac{300}{x} = x - 208

Multiply both sides by

x

300 = x^{2} - 208 x

Solve

300 = x^{2} - 208 x : x = 2 (52 + 2779), x = 2 (52 - 2779)

x = 2 (52 + 2779), x = 2 (52 - 2779)

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2 (52 + 2779), x = 2 (52 - 2779)

\frac{- 32}{x} = - 8

\frac{2}{x + 5} = \frac{x + 2}{3 x + 11}

\frac{6}{x + 1} - \frac{1}{4} = \frac{1}{3 x + 3}

\frac{1}{x - 5} + \frac{3}{8} = \frac{6}{7}

\frac{1440300}{( x + 2256 )} = 12

What is the answer to (300)/x+8=x-200 ?
The answer to (300)/x+8=x-200 is x=2(52+sqrt(2779)),x=2(52-sqrt(2779))
Solve for x: (300)/x+8=x-200
The solution is x=2(52+sqrt(2779)),x=2(52-sqrt(2779))