$s + \frac{5}{s} = - 6$

Answer

$s_{1} = - 1 s_{2} = - 5$

Explanation

s + \frac{5}{s} ss + s \cdot \frac{5}{s} s^{2} + 5 s^{2} + 5 + 6 s s^{2} + 6 s + 5 = - 6 = s \cdot (- 6) = - 6 s = 0 = 0 multiply ALL terms by s . cancel out the denominators move all terms to the left hand side simplify left side

$x^{2} + 6 x + 5 = 0$ 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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s+s5​=−6

s1​=−1​s2​=−5​

$s + \frac{5}{s} = - 6$

$s_{1} = - 1 s_{2} = - 5$