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To solve the quadratic equation (x^2 - 10x + 18 = 0), we can use the quadratic formula: (x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}), where (a = 1), (b = -10), and (c = 18). Plugging in these values gives us (x = \frac{10 \pm \sqrt{(-10)^2 - 4 \cdot 1 \cdot 18}}{2 \cdot 1}), which simplifies to (x = \frac{10 \pm \sqrt{100 - 72}}{2} = \frac{10 \pm \sqrt{28}}{2}). Further simplifying, we find the solutions: (x = 5 \pm \sqrt{7}).

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9mo ago

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