What is the answer to 4((x-1)/x)^2+8((x+1)/x)-29=0 ?

The answer to 4((x-1)/x)^2+8((x+1)/x)-29=0 is x=-2/(sqrt(17)),x= 2/(sqrt(17))

Solve for x: 4((x-1)/x)^2+8((x+1)/x)-29=0

The solution is x=-2/(sqrt(17)),x= 2/(sqrt(17))

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4 (\frac{x - 1}{x})^{2} + 8 (\frac{x + 1}{x}) - 29 = 0

x = - \frac{2}{17}, x = \frac{2}{17}

Decimal Notation

x = - 0.48507 \dots, x = 0.48507 \dots

Solution steps

4 (\frac{x - 1}{x})^{2} + 8 (\frac{x + 1}{x}) - 29 = 0

Multiply by LCM

4 (x - 1)^{2} + 8 x (x + 1) - 29 x^{2} = 0

Solve

4 (x - 1)^{2} + 8 x (x + 1) - 29 x^{2} = 0 : x = - \frac{2}{17}, x = \frac{2}{17}

x = - \frac{2}{17}, x = \frac{2}{17}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{2}{17}, x = \frac{2}{17}

x^{2} + \frac{1}{x ^{2}} = 727

\frac{x ^{2002} + 4 x ^{2001}}{4 x ^{2000}} = 7

x, \frac{( 2 )}{( w )} = \frac{( 3 )}{( y )} - \frac{( 1 )}{( x )}

\frac{4 ^{12}}{4 ^{10} - x} = 7

3 + 22 = \frac{x + 1}{x}

What is the answer to 4((x-1)/x)^2+8((x+1)/x)-29=0 ?
The answer to 4((x-1)/x)^2+8((x+1)/x)-29=0 is x=-2/(sqrt(17)),x= 2/(sqrt(17))
Solve for x: 4((x-1)/x)^2+8((x+1)/x)-29=0
The solution is x=-2/(sqrt(17)),x= 2/(sqrt(17))