: Setting up the equation as x + 1/x = 10/3 creates a quadratic form 3x square – 10x + 3 = 0. Factoring this gives (3x – 1)(x – 3) = 0, which provides the two possible numerical answers.
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: Setting up the equation as x + 1/x = 10/3 creates a quadratic form 3x square – 10x + 3 = 0. Factoring this gives (3x – 1)(x – 3) = 0, which provides the two possible numerical answers.
Let the unknown target number be represented by the variable x. According to the wording of the problem, the algebraic equation is written as x plus 1/x equals 10/3. Multiplying the entire equation by 3x clears out the denominators, transforming it into the standard quadratic equation form 3x square – 10x + 3 = 0. Splitting the middle term results in the linear factors (3x – 1) and (x – 3), giving the solutions 3 or 1/3.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-4/