What is the answer to |(39)/(2-3x^2)|= 15/2 ?

The answer to |(39)/(2-3x^2)|= 15/2 is x=-(2sqrt(3))/(sqrt(5)),x=(2sqrt(3))/(sqrt(5))

Solve for x: |(39)/(2-3x^2)|= 15/2

The solution is x=-(2sqrt(3))/(sqrt(5)),x=(2sqrt(3))/(sqrt(5))

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\frac{39}{2 - 3 x ^{2}} = \frac{15}{2}

x = - \frac{2 3}{5}, x = \frac{2 3}{5}

Decimal Notation

x = - 1.54919 \dots, x = 1.54919 \dots

Solution steps

\frac{39}{2 - 3 x ^{2}} = \frac{15}{2}

Cross multiply

78 = 2 - 3 x^{2} \cdot 15

Solve

78 = 2 - 3 x^{2} \cdot 15 : x = - \frac{2 3}{5} or x = \frac{2 3}{5}

x = - \frac{2 3}{5}, x = \frac{2 3}{5}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - \frac{2 3}{5}, x = \frac{2 3}{5}

\frac{x + 9}{x + 6} = 0

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

a^{5} + \frac{1}{a ^{5}} = 123, a + \frac{1}{a}

\frac{2}{( 3 x - 1 )} + \frac{3}{( 3 x + 1 )} = \frac{5}{3} x

x + \frac{4}{x} - 4 + x - \frac{4}{x} + 4 = \frac{10}{3}

What is the answer to |(39)/(2-3x^2)|= 15/2 ?
The answer to |(39)/(2-3x^2)|= 15/2 is x=-(2sqrt(3))/(sqrt(5)),x=(2sqrt(3))/(sqrt(5))
Solve for x: |(39)/(2-3x^2)|= 15/2
The solution is x=-(2sqrt(3))/(sqrt(5)),x=(2sqrt(3))/(sqrt(5))