What is the answer to x=0.01(1+(400)/x) ?

The answer to x=0.01(1+(400)/x) is x=(1+sqrt(160001))/(200),x=(1-sqrt(160001))/(200)

Solve for x: x=0.01(1+(400)/x)

The solution is x=(1+sqrt(160001))/(200),x=(1-sqrt(160001))/(200)

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x = 0.01 (1 + \frac{400}{x})

x = \frac{1 + 160001}{200}, x = \frac{1 - 160001}{200}

Decimal Notation

x = 2.00500 \dots, x = - 1.99500 \dots

Solution steps

x = 0.01 (1 + \frac{400}{x})

Multiply both sides by

100

x \cdot 100 = 1 + \frac{400}{x}

Multiply both sides by

x

100 x^{2} = x + 400

Solve

100 x^{2} = x + 400 : x = \frac{1 + 160001}{200}, x = \frac{1 - 160001}{200}

x = \frac{1 + 160001}{200}, x = \frac{1 - 160001}{200}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1 + 160001}{200}, x = \frac{1 - 160001}{200}

2 π = \frac{2 π}{x}

x + 2 - \frac{6}{x + 2} = 3

1 - \frac{9}{10} = \frac{3}{10 x}

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

\frac{9}{x} = \frac{3}{2}

What is the answer to x=0.01(1+(400)/x) ?
The answer to x=0.01(1+(400)/x) is x=(1+sqrt(160001))/(200),x=(1-sqrt(160001))/(200)
Solve for x: x=0.01(1+(400)/x)
The solution is x=(1+sqrt(160001))/(200),x=(1-sqrt(160001))/(200)