Verify whether 1 and 3 2 are the roots of the equation 2 x 2 - 5 x + 3 = 0 .

Given: 2 x 2 - 5 x + 3 = 0 We verify the given roots, by checking that 1 and 3 2 , satisfy 2 x 2 - 5 x + 3 = 0 . Now, Substituting x = 1 , ⇒ 2 ( 1 ) 2 - 5 ( 1 ) + 3 = 0 ⇒ 2 - 5 + 3 = 0 ⇒ 5 - 5 = 0 ⇒ 0 = 0 Now, Substituting x = 3 2 , ⇒ 2 3 2 2 - 5 3 2 + 3 = 0 ⇒ 18 4 - 15 2 + 3 = 0 By taking LCM of the denominators, we get, 18 - 30 + 12 4 = 0 ⇒ 30 - 30 = 0 ⇒ 0 = 0 Thus, 1 and 3 2 are roots of given equation

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Mathematics Class 10>Chapter 5 - Quadratic Equations>Try This

Telangana Board Solutions for Chapter: Quadratic Equations, Exercise 4: Try This

Author:Telangana Board

Telangana Board Mathematics Solutions for Exercise - Telangana Board Solutions for Chapter: Quadratic Equations, Exercise 4: Try This

Attempt the practice questions on Chapter 5: Quadratic Equations, Exercise 4: Try This with hints and solutions to strengthen your understanding. Mathematics Class 10 solutions are prepared by Experienced Embibe Experts.