$\frac{8}{z} - z = 4$

Answer

$z_{1} = - 2 - 23 z_{2} = - 2 + 23$

Explanation

\frac{8}{z} - z z \cdot \frac{8}{z} - zz 8 - z^{2} - z^{2} + 8 - z^{2} + 8 - 4 z - z^{2} - 4 z + 8 = 4 = z \cdot 4 = 4 z = 4 z = 0 = 0 multiply ALL terms by z . cancel out the denominators simplify left side move all terms to the left hand side simplify left side

$- x^{2} - 4 x + 8 = 0$ is a quadratic equation.

You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.

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z8​−z=4

z1​=−2−23​​z2​=−2+23​​

$\frac{8}{z} - z = 4$

$z_{1} = - 2 - 23 z_{2} = - 2 + 23$