To solve a quadratic equation, you need to factorize, use the quadratic formula, and find the values of the variables that make the equation true. NCERT Solutions for Class 10th Maths Chapter 4 includes such questions. Help us with Important NCERT Example Questions for exams in Session 2022-23.
Represent the following situations mathematically: A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was 750. We would like to find out the number of toys produced on that day.
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Lets, the number of article = x
Therefore, the cost of one article = 2x + 3
According to the question, the total cost x(2x + 3) = 90
⇒ 2x² + 3x = 90
⇒ 2x² + 3x – 90 = 0
⇒ 2x² + 15x – 12x – 90 = 0
⇒ x(2x + 15) – 6 (2x + 15) = 0
⇒ (2x + 15) (x – 6) = 0
⇒ (2x + 15) = 0 or (x – 6) = 0
Either x = – 15/2 or x = 6
But, x ≠ = – 15/2, x as is number of articles.
Therefore, x = 6 and the cost of each article 2x + 3 = 2 × 6 + 3 = 15
Hence, the number of articles = 6 and the cost of each article is Rs 15.