What is the answer to (x^2+1)/(x^2)= 41/4 ?

The answer to (x^2+1)/(x^2)= 41/4 is x= 2/(sqrt(37)),x=-2/(sqrt(37))

Solve for x: (x^2+1)/(x^2)= 41/4

The solution is x= 2/(sqrt(37)),x=-2/(sqrt(37))

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\frac{x ^{2} + 1}{x ^{2}} = \frac{41}{4}

x = \frac{2}{37}, x = - \frac{2}{37}

Decimal Notation

x = 0.32879 \dots, x = - 0.32879 \dots

Solution steps

\frac{x ^{2} + 1}{x ^{2}} = \frac{41}{4}

Cross multiply

(x^{2} + 1) \cdot 4 = x^{2} \cdot 41

Solve

(x^{2} + 1) \cdot 4 = x^{2} \cdot 41 : x = \frac{2}{37}, x = - \frac{2}{37}

x = \frac{2}{37}, x = - \frac{2}{37}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{37}, x = - \frac{2}{37}

\frac{5}{100} = \frac{0.25}{x}

j (x) = \frac{3}{x ^{3}}

\frac{x ^{2} + m}{3 x} = 3 n

\frac{9.6}{y} = 3

x, (\frac{x}{y})^{4} + (\frac{y}{x})^{4} = 47

What is the answer to (x^2+1)/(x^2)= 41/4 ?
The answer to (x^2+1)/(x^2)= 41/4 is x= 2/(sqrt(37)),x=-2/(sqrt(37))
Solve for x: (x^2+1)/(x^2)= 41/4
The solution is x= 2/(sqrt(37)),x=-2/(sqrt(37))