What is the answer to 6.16=(50x)/(x^2+3x+6) ?

The answer to 6.16=(50x)/(x^2+3x+6) is x=(197+sqrt(3235))/(77),x=(197-sqrt(3235))/(77)

Solve for x: 6.16=(50x)/(x^2+3x+6)

The solution is x=(197+sqrt(3235))/(77),x=(197-sqrt(3235))/(77)

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6.16 = \frac{50 x}{x ^{2} + 3 x + 6}

x = \frac{197 + 3235}{77}, x = \frac{197 - 3235}{77}

Decimal Notation

x = 3.29710 \dots, x = 1.81977 \dots

Solution steps

6.16 = \frac{50 x}{x ^{2} + 3 x + 6}

Multiply both sides by

x^{2} + 3 x + 6

6.16 (x^{2} + 3 x + 6) = 50 x

Solve

6.16 (x^{2} + 3 x + 6) = 50 x : x = \frac{197 + 3235}{77}, x = \frac{197 - 3235}{77}

x = \frac{197 + 3235}{77}, x = \frac{197 - 3235}{77}

y, \frac{1}{y} = x

\frac{1}{4 x - 16} + 2 = - \frac{5}{x - 4}

x - \frac{3 x}{x + 7} = \frac{5}{x + 7}

\frac{1}{4 x} = - 4

y, x = \frac{y - 1}{y - 3}

What is the answer to 6.16=(50x)/(x^2+3x+6) ?
The answer to 6.16=(50x)/(x^2+3x+6) is x=(197+sqrt(3235))/(77),x=(197-sqrt(3235))/(77)
Solve for x: 6.16=(50x)/(x^2+3x+6)
The solution is x=(197+sqrt(3235))/(77),x=(197-sqrt(3235))/(77)