Write a quadratic polynomial, sum of whose zeros is 2 3 and their product is 2 .

Let α and β be the zeros of the given quadratic equation. Given, Sum of the zeros = α + b = 2 3 Product of the zeros = α β = 2 We know that a quadratic equation can be represented by x 2 - α + β x + ( α β ) = 0 ⇒ x 2 - 2 3 x + 2 = 0 Hence, the required quadratic polynomial is x 2 - 2 3 x + 2 = 0

Find the discriminant of the quadratic equation 3 3 x 2 + 10 x + 3 = 0

Given that quadratic equation is 3 3 x 2 + 10 x + 3 = 0 . Here, a = 3 3 , b = 10 , c = 3 As we know that discriminant, D = b 2 - 4 a c Putting the value of a = 3 3 , b = 10 , c = 3 D = 10 2 - 4 × 3 3 × 3 = 100 - 36 = 64 Thus, the value of discriminant be D = 64 .

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MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)

R. D. Sharma Solutions for Chapter: Quadratic Equations, Exercise 14: VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)

Author:R. D. Sharma

R. D. Sharma Mathematics Solutions for Exercise - R. D. Sharma Solutions for Chapter: Quadratic Equations, Exercise 14: VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)

Attempt the free practice questions on Chapter 4: Quadratic Equations, Exercise 14: VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) with hints and solutions to strengthen your understanding. MATHEMATICS CLASS X solutions are prepared by Experienced Embibe Experts.