What is the answer to 60=((0.2x^2+4x+15))/x ?

The answer to 60=((0.2x^2+4x+15))/x is x=5(28+sqrt(781)),x=5(28-sqrt(781))

Solve for x: 60=((0.2x^2+4x+15))/x

The solution is x=5(28+sqrt(781)),x=5(28-sqrt(781))

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60 = \frac{( 0.2 x ^{2} + 4 x + 15 )}{x}

x = 5 (28 + 781), x = 5 (28 - 781)

Decimal Notation

x = 279.73188 \dots, x = 0.26811 \dots

Solution steps

60 = \frac{( 0.2 x ^{2} + 4 x + 15 )}{x}

Simplify

\frac{( 0.2 x ^{2} + 4 x + 15 )}{x} : \frac{0.2 x ^{2} + 4 x + 15}{x}

60 = \frac{0.2 x ^{2} + 4 x + 15}{x}

Multiply both sides by

x

60 x = 0.2 x^{2} + 4 x + 15

Solve

60 x = 0.2 x^{2} + 4 x + 15 : x = 5 (28 + 781), x = 5 (28 - 781)

x = 5 (28 + 781), x = 5 (28 - 781)

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5 (28 + 781), x = 5 (28 - 781)

\frac{5}{2 x} + \frac{9}{2} = 5

t, a = \frac{b}{t}

x, \frac{y}{x} + a = b

\frac{2}{x} = \frac{1}{x - 1}

l, \frac{2 k}{2 l} = 0.25

What is the answer to 60=((0.2x^2+4x+15))/x ?
The answer to 60=((0.2x^2+4x+15))/x is x=5(28+sqrt(781)),x=5(28-sqrt(781))
Solve for x: 60=((0.2x^2+4x+15))/x
The solution is x=5(28+sqrt(781)),x=5(28-sqrt(781))