What is the answer to (3x-2)/x =(59x^2-4)/(x^2) ?

The answer to (3x-2)/x =(59x^2-4)/(x^2) is x= 1/4 ,x=-2/7

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(3x-2)/x =(59x^2-4)/(x^2)

\frac{3 x - 2}{x} = \frac{59 x ^{2} - 4}{x ^{2}}

x = \frac{1}{4}, x = - \frac{2}{7}

Decimal Notation

x = 0.25, x = - 0.28571 \dots

Solution steps

\frac{3 x - 2}{x} = \frac{59 x ^{2} - 4}{x ^{2}}

Cross multiply

(3 x - 2) x^{2} = x (59 x^{2} - 4)

Solve

(3 x - 2) x^{2} = x (59 x^{2} - 4) : x = 0, x = \frac{1}{4}, x = - \frac{2}{7}

x = 0, x = \frac{1}{4}, x = - \frac{2}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = \frac{1}{4}, x = - \frac{2}{7}

(\frac{x + 1}{x})^{2} - 2 (\frac{x - 1}{x + 4}) - 11 = 0

\frac{21}{2 \cdot x} = \frac{331}{3}

x - 5 = \frac{2}{x}

x, f (x + h) = \frac{( x ^{2} - 1 )}{( x + 1 )}

∣ x ∣ + \frac{x}{( x - 1 )} = \frac{( x ^{2} )}{∣ x - 1 ∣}

What is the answer to (3x-2)/x =(59x^2-4)/(x^2) ?
The answer to (3x-2)/x =(59x^2-4)/(x^2) is x= 1/4 ,x=-2/7
Solve for x: (3x-2)/x =(59x^2-4)/(x^2)
The solution is x= 1/4 ,x=-2/7