What is the answer to ((x+1)/x)^2=(4+3)/(2(x-1/x)) ?

The answer to ((x+1)/x)^2=(4+3)/(2(x-1/x)) is x\approx-0.42571…,x\approx 2.07589…

Solve for x: ((x+1)/x)^2=(4+3)/(2(x-1/x))

The solution is x\approx-0.42571…,x\approx 2.07589…

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

x \approx - 0.42571 \dots, x \approx 2.07589 \dots

Solution steps

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

Cross multiply

(x + 1)^{2} \cdot 2 (x^{2} - 1) = 7 x^{3}

Solve

(x + 1)^{2} \cdot 2 (x^{2} - 1) = 7 x^{3} : x \approx - 0.42571 \dots, x \approx 2.07589 \dots

x \approx - 0.42571 \dots, x \approx 2.07589 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1, x = 1

Combine undefined points with solutions:

x \approx - 0.42571 \dots, x \approx 2.07589 \dots

5 \frac{x}{x - 5} + ∣ x ∣ = \frac{x ^{2}}{∣ x - 5 ∣}

\frac{3}{4 \cdot m + 2 m} = 22

\frac{1}{4 \cdot m - 7} = 2

\frac{( x - 5 )}{x} - \frac{( x - 7 )}{( x - 1 )} = \frac{5}{x}

y = \frac{1}{( 4 - y ^{2} )}

What is the answer to ((x+1)/x)^2=(4+3)/(2(x-1/x)) ?
The answer to ((x+1)/x)^2=(4+3)/(2(x-1/x)) is x\approx-0.42571…,x\approx 2.07589…
Solve for x: ((x+1)/x)^2=(4+3)/(2(x-1/x))
The solution is x\approx-0.42571…,x\approx 2.07589…