Bob Fowler
05/20/2024 · Middle School

Найди значение выражения \( \frac{\mathrm{x}^{2}}{\mathrm{x}-5}-\frac{25}{\mathrm{x}-5} \) при \( \mathrm{x}=-3,1 \) Ответ запиши в виде десятичной дроби. Введи ОТВеТ

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Substitute \( x=-3 \) into the expression \( \frac{x^{2}}{x-5}-\frac{25}{x-5} \). Evaluate the expression by following steps: - step0: Evaluate: \(\frac{x^{2}}{x-5}-\frac{25}{x-5}\) - step1: Substitute: \(\frac{\left(-3\right)^{2}}{-3-5}-\frac{25}{-3-5}\) - step2: Subtract the numbers: \(\frac{\left(-3\right)^{2}}{-8}-\frac{25}{-3-5}\) - step3: Subtract the numbers: \(\frac{\left(-3\right)^{2}}{-8}-\frac{25}{-8}\) - step4: Divide the terms: \(-\frac{3^{2}}{8}-\frac{25}{-8}\) - step5: Rewrite the fraction: \(-\frac{3^{2}}{8}-\left(-\frac{25}{8}\right)\) - step6: Remove the parentheses: \(-\frac{3^{2}}{8}+\frac{25}{8}\) - step7: Evaluate the power: \(-\frac{9}{8}+\frac{25}{8}\) - step8: Transform the expression: \(\frac{-9+25}{8}\) - step9: Add the numbers: \(\frac{16}{8}\) - step10: Calculate: \(2\) Подставив \( x=-3 \) в выражение \( \frac{x^{2}}{x-5}-\frac{25}{x-5} \), получаем результат 2. Теперь подставим \( x=1 \) в выражение и найдем значение. Evaluate the expression by following steps: - step0: Evaluate: \(\frac{x^{2}}{x-5}-\frac{25}{x-5}\) - step1: Substitute: \(\frac{1^{2}}{1-5}-\frac{25}{1-5}\) - step2: Evaluate the power: \(\frac{1}{1-5}-\frac{25}{1-5}\) - step3: Subtract the numbers: \(\frac{1}{-4}-\frac{25}{1-5}\) - step4: Subtract the numbers: \(\frac{1}{-4}-\frac{25}{-4}\) - step5: Rewrite the fraction: \(-\frac{1}{4}-\frac{25}{-4}\) - step6: Rewrite the fraction: \(-\frac{1}{4}-\left(-\frac{25}{4}\right)\) - step7: Remove the parentheses: \(-\frac{1}{4}+\frac{25}{4}\) - step8: Transform the expression: \(\frac{-1+25}{4}\) - step9: Add the numbers: \(\frac{24}{4}\) - step10: Calculate: \(6\) Подставив \( x=1 \) в выражение \( \frac{x^{2}}{x-5}-\frac{25}{x-5} \), получаем результат 6. Таким образом, значение выражения при \( x=-3 \) равно 2, а при \( x=1 \) равно 6.

Quick Answer

При \( x=-3 \) результат 2, при \( x=1 \) результат 6.
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