What is the answer to x-sqrt((19)/x)=20 ?

The answer to x-sqrt((19)/x)=20 is x=(21+sqrt(437))/2

Solve for x: x-sqrt((19)/x)=20

The solution is x=(21+sqrt(437))/2

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x - \frac{19}{x} = 20

x = \frac{21 + 437}{2}

Decimal Notation

x = 20.95227 \dots

Solution steps

x - \frac{19}{x} = 20

Remove square roots

\frac{19}{x} = 400 - 40 x + x^{2}

Solve

\frac{19}{x} = 400 - 40 x + x^{2} : x = 19, x = \frac{21 + 437}{2}, x = \frac{21 - 437}{2}

x = 19, x = \frac{21 + 437}{2}, x = \frac{21 - 437}{2}

Verify Solutions:

x = 19

False

, x = \frac{21 + 437}{2}

True

, x = \frac{21 - 437}{2}

False

The solution is

x = \frac{21 + 437}{2}

x, y = 1 + 2 + 3 x

x^{0.3} x = 6 x - 2

4 a^{2} - 4 a + 1 + [a + 4] = a + 7

11 - x = x - 5

5 x + 6 + 7 = 3

What is the answer to x-sqrt((19)/x)=20 ?
The answer to x-sqrt((19)/x)=20 is x=(21+sqrt(437))/2
Solve for x: x-sqrt((19)/x)=20
The solution is x=(21+sqrt(437))/2