Quadratic Equations
Exercise 5.4 Solutions – Class X Mathematics Exercise 5.4 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on the nature of roots of quadratic equations and applications to word problems. Mathematical expressions are rendered using MathJax. 1. Find the nature of the roots of the … Read more
Exercise 5.3 Solutions – Class X Mathematics Exercise 5.3 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on solving quadratic equations using the quadratic formula and applying them to word problems. Mathematical expressions are rendered using MathJax. 1. Find the roots of the following quadratic … Read more
Exercise 5.2 Solutions – Class X Mathematics Exercise 5.2 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on solving quadratic equations by factorisation and applying them to word problems. Mathematical expressions are rendered using MathJax. 1. Find the roots of the following quadratic equations by … Read more
Exercise 5.1 Solutions – Class X Mathematics Exercise 5.1 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on quadratic equations. Mathematical expressions are rendered using MathJax. 1. Check whether the following are quadratic equations: (i) \( (x + 1)^2 = 2(x – 3) \) Expand … Read more
QUADRATIC EQUATIONS Key Points Nature of roots:The nature of roots of a quadratic equation 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0 depends on 𝑏2 − 4𝑎𝑐 iscalled the discriminant(i) 𝐼𝑓 𝒃𝟐 − 𝟒𝒂𝒄 > 𝟎 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑟𝑜𝑜𝑡𝑠 𝑎𝑟𝑒 𝑟𝑒𝑎𝑙 𝑎𝑛𝑑 𝑑𝑖𝑠𝑡𝑖𝑛𝑐𝑡(ii) 𝐼𝑓 𝒃𝟐 − 𝟒𝒂𝒄 = 𝟎 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑟𝑜𝑜𝑡𝑠 𝑎𝑟𝑒 𝑟𝑒𝑎𝑙 𝑎𝑛𝑑 𝑒𝑞𝑢𝑎𝑙(iii) … Read more