What is the answer to (x+1)/x =(21)/(20x^2) ?

The answer to (x+1)/x =(21)/(20x^2) is x=(-5+sqrt(130))/(10),x=-(5+sqrt(130))/(10)

Solve for x: (x+1)/x =(21)/(20x^2)

The solution is x=(-5+sqrt(130))/(10),x=-(5+sqrt(130))/(10)

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\frac{x + 1}{x} = \frac{21}{20 x ^{2}}

x = \frac{- 5 + 130}{10}, x = - \frac{5 + 130}{10}

Decimal Notation

x = 0.64017 \dots, x = - 1.64017 \dots

Solution steps

\frac{x + 1}{x} = \frac{21}{20 x ^{2}}

Cross multiply

(x + 1) \cdot 20 x^{2} = x \cdot 21

Solve

(x + 1) \cdot 20 x^{2} = x \cdot 21 : x = 0, x = \frac{- 5 + 130}{10}, x = - \frac{5 + 130}{10}

x = 0, x = \frac{- 5 + 130}{10}, x = - \frac{5 + 130}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = \frac{- 5 + 130}{10}, x = - \frac{5 + 130}{10}

\frac{( n + 1 ) !}{( n + 3 ) !} = \frac{1}{20}

\frac{x + 1}{x} = 1

\frac{1}{f} + 40 + \frac{1}{25} + f = \frac{1}{f}

\frac{b + 1}{b} = - 3

t, g = 2 \frac{h}{t ^{2}}

What is the answer to (x+1)/x =(21)/(20x^2) ?
The answer to (x+1)/x =(21)/(20x^2) is x=(-5+sqrt(130))/(10),x=-(5+sqrt(130))/(10)
Solve for x: (x+1)/x =(21)/(20x^2)
The solution is x=(-5+sqrt(130))/(10),x=-(5+sqrt(130))/(10)