What is the answer to (x^2+1)/((25x^2))= 83/5 ?

The answer to (x^2+1)/((25x^2))= 83/5 is x= 1/(3sqrt(46)),x=-1/(3sqrt(46))

Solve for x: (x^2+1)/((25x^2))= 83/5

The solution is x= 1/(3sqrt(46)),x=-1/(3sqrt(46))

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\frac{x ^{2} + 1}{( 25 x ^{2} )} = \frac{83}{5}

x = \frac{1}{3 46}, x = - \frac{1}{3 46}

Decimal Notation

x = 0.04914 \dots, x = - 0.04914 \dots

Solution steps

\frac{x ^{2} + 1}{( 25 x ^{2} )} = \frac{83}{5}

Cross multiply

(x^{2} + 1) \cdot 5 = 2075 x^{2}

Solve

(x^{2} + 1) \cdot 5 = 2075 x^{2} : x = \frac{1}{3 46}, x = - \frac{1}{3 46}

x = \frac{1}{3 46}, x = - \frac{1}{3 46}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{3 46}, x = - \frac{1}{3 46}

\frac{1}{3 \cdot ( x - 2 ) ^{3}} = x + 4

x^{2} + (\frac{16}{x ^{2}}) = 8

\frac{66}{w} = 11

y, 3 \frac{z}{y} + 2 = 3

a = \frac{9}{4 r ^{2}}

What is the answer to (x^2+1)/((25x^2))= 83/5 ?
The answer to (x^2+1)/((25x^2))= 83/5 is x= 1/(3sqrt(46)),x=-1/(3sqrt(46))
Solve for x: (x^2+1)/((25x^2))= 83/5
The solution is x= 1/(3sqrt(46)),x=-1/(3sqrt(46))