Example 1 (i) - Chapter 4 Class 10 Quadratic Equations
Last updated at May 26, 2023 by Teachoo
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Example 1
Represent the following situations mathematically:
(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
Total number of marbles = 45
Let the number of marbles with John = x
So, number of marbles with Jivanti = 45 – x marbles
After losing 5 marbles,
Number of marbles with John = x – 5
Number of marbles with Jivanti = 45 – x – 5 = 40 – x
Given that
Product of marbles now = 124
(x – 5) (40 – x) = 124
x (40 – x) – 5 (40 – x) = 124
40x – x2 – 200 + 5x = 124
45x – x2 – 200 = 124
0 = x2 + 200 – 45x + 124
0 = x2 – 45x + 324
x2 – 45x + 324 = 0
Hence, the required quadratic equation is x2 – 45x + 324 = 0
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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