What is the answer to (x^2+1)/(x^2)=3 ?

The answer to (x^2+1)/(x^2)=3 is x= 1/(sqrt(2)),x=-1/(sqrt(2))

Solve for x: (x^2+1)/(x^2)=3

The solution is x= 1/(sqrt(2)),x=-1/(sqrt(2))

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\frac{x ^{2} + 1}{x ^{2}} = 3

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

Decimal Notation

x = 0.70710 \dots, x = - 0.70710 \dots

Solution steps

\frac{x ^{2} + 1}{x ^{2}} = 3

Multiply both sides by

x^{2}

x^{2} + 1 = 3 x^{2}

Solve

x^{2} + 1 = 3 x^{2} : x = \frac{1}{2}, x = - \frac{1}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{17}{8 y} = \frac{41}{2}

x, \frac{6}{x} + \frac{12}{y} = 2

m, \frac{3}{4} = \frac{1}{n ^{2}} - \frac{1}{m ^{2}}

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

\frac{x ^{2}}{x - 3} = \frac{x}{x - 3}

What is the answer to (x^2+1)/(x^2)=3 ?
The answer to (x^2+1)/(x^2)=3 is x= 1/(sqrt(2)),x=-1/(sqrt(2))
Solve for x: (x^2+1)/(x^2)=3
The solution is x= 1/(sqrt(2)),x=-1/(sqrt(2))