*हरप्रितला इतिहासात पहिल्या चाचणीत मिळालेल्या गुणांपेक्षा दुसऱ्या चाचणीत 10 गुण जास्त मिळाले. दुसऱ्या चाचणीतील गुणांची 5 पट ही पहिल्या चाचणीतील गुणांच्या वर्गाइतकी आहे; तर त्याचे दुसऱ्या चाचणीतील गुण किती?*
Answers
Given :
Harpreet got 10 marks more in the second test than he got in the first test in history. 5 times the marks in the second test is equal to the square of the marks in the first test;
To Find : What are his marks in the second test
Solution:
Harpreet got in the first test in History = H marks
Harpreet got in the second test in History = H + 10 marks
5 times the marks in the second test is equal to the square of the marks in the first test;
=> H² = 5(H + 10)
=> H² - 5H - 50 = 0
=> H² -10H - 5H - 50 = 0
=> H(H - 10) + 5(H - 10) = 0
=> ( H + 5)(H - 10) = 0
=> H = 10 ( H = -5 not possible )
H + 10 = 10 + 10 = 20
marks in the second test = 20
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