Đáp án:
x=100
Giải thích các bước giải:
\({\frac{{x - 50}}{{50}} - 1 + \frac{{x - 51}}{{49}} - 1 + \frac{{x - 52}}{{48}} - 1 + \frac{{x - 53}}{{47}} - 1 + \frac{{x - 200}}{{25}} + 4 = 0}\)
\({ \to \frac{{x - 100}}{{50}} + \frac{{x - 100}}{{49}} + \frac{{x - 100}}{{48}} + \frac{{x - 100}}{{47}} + \frac{{x - 100}}{{25}} = 0}\)
\({ \to \left( {x - 100} \right)\left( {\frac{1}{{50}} + \frac{1}{{49}} + \frac{1}{{48}} + \frac{1}{{47}} + \frac{1}{{25}}} \right) = 0}\)
\({ \to x - 100 = 0}\)
\({ \to x = 100}\)