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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Step-by-step Solution
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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