What is the answer to 400=x-4*(400)/x ?

The answer to 400=x-4*(400)/x is x=40(5+sqrt(26)),x=40(5-sqrt(26))

Solve for x: 400=x-4*(400)/x

The solution is x=40(5+sqrt(26)),x=40(5-sqrt(26))

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400 = x - 4 \cdot \frac{400}{x}

x = 40 (5 + 26), x = 40 (5 - 26)

Decimal Notation

x = 403.96078 \dots, x = - 3.96078 \dots

Solution steps

400 = x - 4 \cdot \frac{400}{x}

Simplify

- 4 \cdot \frac{400}{x} : - \frac{1600}{x}

400 = x - \frac{1600}{x}

Multiply both sides by

x

400 x = x^{2} - 1600

Solve

400 x = x^{2} - 1600 : x = 40 (5 + 26), x = 40 (5 - 26)

x = 40 (5 + 26), x = 40 (5 - 26)

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 40 (5 + 26), x = 40 (5 - 26)

a, p = \frac{w}{a}

\frac{3}{x} = \frac{4}{2 x - 3}

\frac{4}{2 x} + \frac{7}{3 x} = 1

\frac{y + 6}{y} - \frac{8}{7} = 0

\frac{y + 3}{y - 4} = \frac{3 y}{y + 1}

What is the answer to 400=x-4*(400)/x ?
The answer to 400=x-4*(400)/x is x=40(5+sqrt(26)),x=40(5-sqrt(26))
Solve for x: 400=x-4*(400)/x
The solution is x=40(5+sqrt(26)),x=40(5-sqrt(26))