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

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

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

The solution is x=-sqrt(7/3),x=sqrt(7/3)

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

x = - \frac{7}{3}, x = \frac{7}{3}

Decimal Notation

x = - 1.52752 \dots, x = 1.52752 \dots

Solution steps

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

Cross multiply

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

Solve

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

x = 0, x = - \frac{7}{3}, x = \frac{7}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = - \frac{7}{3}, x = \frac{7}{3}

\frac{( 5 + 6 ) ( n - 4 )}{( 7 - 3 n ) + 7 n ( 4 - 1 n )} = 6

v, \frac{1}{v} + \frac{n}{r} = \frac{( n - 1 )}{r}

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

\frac{( ∣ 2 x - 1 ∣ + 4 x )}{( 4 x + 2 )} = \frac{1}{2}

\frac{( 0.4 z - 3 )}{( 1.5 z + 9 )} = \frac{7}{5}

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