Solve the following quadratic equation: 1/(x + 5) = 1/x^2
Solve the following quadratic equation.
\[\frac{1}{x + 5} = \frac{1}{x^2}\]1 answer
Answer: \(x = \frac{1 + \sqrt{21}}{2}\) or \(x = \frac{1 - \sqrt{21}}{2}\)
Cross-multiplying: \(x^2 = x + 5\), so \(x^2 - x - 5 = 0\). Here \(a = 1, b = -1, c = -5\); \(\Delta = 1 + 20 = 21\).
\[x = \frac{1 \pm \sqrt{21}}{2}\]
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· 24 Oct 2026
AI-verified · Oct 2026
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